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Journal of the Tensor Society最新文献

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Riemannian manifold admitting a new type of semi-symmetric non-metric connection 容许一种新型半对称非度量连接的黎曼流形
Journal of the Tensor Society Pub Date : 2024-05-21 DOI: 10.56424/jts.v17i01.205
Anubhavi Gupta
{"title":"Riemannian manifold admitting a new type of semi-symmetric non-metric connection","authors":"Anubhavi Gupta","doi":"10.56424/jts.v17i01.205","DOIUrl":"https://doi.org/10.56424/jts.v17i01.205","url":null,"abstract":"We define a new type of semi-symmetric non-metric connection on a Riemannian manifold and established its existence. Further, we find some basic results of curvature tensor and Ricci tensor. It is proved that such connection on a Riemannian manifold is projectively invariant under certain conditions. We also studied some properties of submanifolds of the Riemannian manifolds with respect to the semi-symmetric non-metric connection. To validate our findings, we construct two non-trivial examples of 3-dimensional and 5-dimensional Riemannian manifold equipped with a semi-symmetric non-metric connection.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":"78 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141116957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Riemannian Maps From Kaehler Manifold With Generic Fibers 带通用纤维的开普勒曼弗雷德黎曼图
Journal of the Tensor Society Pub Date : 2024-05-04 DOI: 10.56424/jts.v17i01.196
Richa Agarwal
{"title":"Riemannian Maps From Kaehler Manifold With Generic Fibers","authors":"Richa Agarwal","doi":"10.56424/jts.v17i01.196","DOIUrl":"https://doi.org/10.56424/jts.v17i01.196","url":null,"abstract":"We study Riemannian maps from almost Hermitian manifolds to Riemannian manifolds for the case when the fibers are genericsubmanifold of the total space. We obtain the integrability conditionsfor the distributions while vertical distribution is always integrable. Wealso study the geometry of the leaves of the distribution which arisefrom such maps, and obtain the necessary and sufficient conditions forthe fibers as well as the total manifold to be generic product manifolds. We, further, obtain the necessary and sufficient condition for aRiemannian maps with generic fibers to be totally geodesic map.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":" 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Lanczos Potential 关于兰克索斯势能
Journal of the Tensor Society Pub Date : 2024-05-04 DOI: 10.56424/jts.v17i01.201
Ravi Panchal
{"title":"On the Lanczos Potential","authors":"Ravi Panchal","doi":"10.56424/jts.v17i01.201","DOIUrl":"https://doi.org/10.56424/jts.v17i01.201","url":null,"abstract":"For arbitrary geometries of Petrov types III, N and O we construct the Lanczos potential for the corresponding Weyl tensor. This will provide a technique to construct Lanczos potential in non-vacuum cases.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":" 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
TILTED LRS BIANCHI TYPE-VIo DARK ENERGY COSMOLOGICAL MODEL 倾斜式 LRS 比安奇 VIo 型暗能量模型
Journal of the Tensor Society Pub Date : 2024-05-04 DOI: 10.56424/jts.v17i01.198
Dr Subrata Kumar Sahu, Dr Neha, Mihiret Tulamo Tupala, Dr Sultan Ahmad
{"title":"TILTED LRS BIANCHI TYPE-VIo DARK ENERGY COSMOLOGICAL MODEL","authors":"Dr Subrata Kumar Sahu, Dr Neha, Mihiret Tulamo Tupala, Dr Sultan Ahmad","doi":"10.56424/jts.v17i01.198","DOIUrl":"https://doi.org/10.56424/jts.v17i01.198","url":null,"abstract":"Tilted LRS Bianchi-VIo dark energy cosmological model is investigated in Einstein’s theory of gravitation. We obtained solutions by considering shear scalar  proportional to expansion scalar and deceleration  parameter. Further we obtained an accelerating universe subject to the small value of the anisotropic parameter. Some physical and geometrical properties of the solutions are also discussed.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pr EXPLICIT CHARACTERIZATION OF THE RADIUS OF CURVES LYING IN A SURFACE OF $mathbb{E}^3$ OR $mathbb{E}^3_1$ Pr 位于 $mathbb{E}^3$ 或 $mathbb{E}^3_1$ 表面上的曲线的半径的简明描述
Journal of the Tensor Society Pub Date : 2024-05-04 DOI: 10.56424/jts.v17i01.204
Athoumane Niang, A. Ndiaye
{"title":"Pr EXPLICIT CHARACTERIZATION OF THE RADIUS OF CURVES LYING IN A SURFACE OF $mathbb{E}^3$ OR $mathbb{E}^3_1$","authors":"Athoumane Niang, A. Ndiaye","doi":"10.56424/jts.v17i01.204","DOIUrl":"https://doi.org/10.56424/jts.v17i01.204","url":null,"abstract":"In this paper we show that the differential equation characterizing a curve lying in an oriented surface $mathbb{E}^3$ or $mathbb{E}^3_1$ allows two express the radius of the curvature of the curve in terms of its torsions.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":" 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Common fixed point theorems for C-class functions in b-metric spaces with application b 计量空间中 C 类函数的共定点定理及其应用
Journal of the Tensor Society Pub Date : 2024-05-04 DOI: 10.56424/jts.v17i01.199
Shashi Thakur
{"title":"Common fixed point theorems for C-class functions in b-metric spaces with application","authors":"Shashi Thakur","doi":"10.56424/jts.v17i01.199","DOIUrl":"https://doi.org/10.56424/jts.v17i01.199","url":null,"abstract":"In this paper, we establish the existence and uniqueness of common fixedpoint theorems for self mappings satisfying the common limit range property with re-spect to mappings S and T and common (E.A)-property via the concept of C-classfunctions in b-metric spaces. We furnish two examples to validate our results. Our re-sults improve various results appeared in the current literature. As an application, Weprovide the existence of a solution of an integral equations.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":" 6-7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ASKING IF VACUUM ENERGY allows COMPUTATIONAL “BITS” PRESENT AT START OF COSMOLOGICAL EVOLUTION, and its possible ties into torsion physics 询问气动能量是否允许计算 "比特 "出现在宇宙演化之初，及其与扭转物理学的可能联系
Journal of the Tensor Society Pub Date : 2024-05-04 DOI: 10.56424/jts.v17i01.197
Andrew W Beckwith
{"title":"ASKING IF VACUUM ENERGY allows COMPUTATIONAL “BITS” PRESENT AT START OF COSMOLOGICAL EVOLUTION, and its possible ties into torsion physics","authors":"Andrew W Beckwith","doi":"10.56424/jts.v17i01.197","DOIUrl":"https://doi.org/10.56424/jts.v17i01.197","url":null,"abstract":"Based on Torsion as given by de Sabbata and Sirvaram, Erice 1990 . The 1990 article claims that Torsion cancels Cosmological vacuum energy. We consider if relic black holes at the start of inflation may allow for the observed cosmological constant. Using the 1990 text if thermal energy is used at start of inflation creates conceptual issues, whereas an energy term based on Corda’s treatment of black holes may provide a solution. i.e. a left over cosmological constant 10^-121 times vacuum energy . Considerations as to how black hole physics may contribute to torsion and the cosmological constant are considered  in several numerical cases     Also we present entanglement entropy in the early universe with a  shrinking scale factor, due to Muller and Lousto , and show that there are consequences due to initial entanged for a time dependent horizon radius  in cosmology, with (flat space conditions)  for conformal time  . This construction preserves a minimum non zero vacuum energy, and in doing so keep the bits, for computational bits cosmological evolution. The bits are ascribed to initial torsion for reasons which we elaborate on in this manuscript","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lorentzian α_Sasakian Manifolds Satisfying Certain Condition on the Concircular Curvature Tensor 在共圆曲率张量上满足一定条件的Lorentzian α _sasaki流形
Journal of the Tensor Society Pub Date : 2013-12-30 DOI: 10.56424/jts.v7i01.10471
S. Srivastava, V. Srivastava
{"title":"Lorentzian α_Sasakian Manifolds Satisfying Certain Condition on the Concircular Curvature Tensor","authors":"S. Srivastava, V. Srivastava","doi":"10.56424/jts.v7i01.10471","DOIUrl":"https://doi.org/10.56424/jts.v7i01.10471","url":null,"abstract":"In this paper we have shown that Lorentzian α (cid:0) Sasakian manifold are Einstein manifold if they satisfy the condition R ( X, Y ) .S = 0, C ( ξ, X ) .S = 0, C ( ξ, X ) .C = 0, C ( ξ, X ) .R = 0, R.C = R.R and ϕ 2 (( D X Q )( Y )) = 0.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133342170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geometry of Schwarzschild Soliton 史瓦西孤子的几何
Journal of the Tensor Society Pub Date : 2013-12-30 DOI: 10.56424/jts.v7i01.10467
Musavvir Ali, Z. Ahsan
{"title":"Geometry of Schwarzschild Soliton","authors":"Musavvir Ali, Z. Ahsan","doi":"10.56424/jts.v7i01.10467","DOIUrl":"https://doi.org/10.56424/jts.v7i01.10467","url":null,"abstract":"It is shown that the gravitational field of Schwarzschild soliton differ by its original Schwarzschild metric. By using the technique of eigen value of characteristic equation of λ−tensor, the geometry of Schwarzschild soliton has been studied.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":"428 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115596917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Particle Creation with Generalised Gravitational and Cosmological Constants 用广义引力和宇宙学常数创造粒子
Journal of the Tensor Society Pub Date : 2013-12-30 DOI: 10.56424/jts.v7i01.10466
N. Singh, Y. B. Devi
{"title":"Particle Creation with Generalised Gravitational and Cosmological Constants","authors":"N. Singh, Y. B. Devi","doi":"10.56424/jts.v7i01.10466","DOIUrl":"https://doi.org/10.56424/jts.v7i01.10466","url":null,"abstract":"In this paper we study the effect of particle creation on the evolution of FRW cosmological model. The universe has been considered as an open thermodynamic system when particle creation leads to supplementary negative creation pressure in addition to the thermodynamic pressure. We also discuss dynamical behaviors of the cosmological solutions of radiation dominated models and stiff models.","PeriodicalId":372763,"journal":{"name":"Journal of the Tensor Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130952180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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