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On the Geometry of Orbits of Conformal Vector Fields 关于共形矢量场的轨道几何
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-51-2019-29-39
A. Narmanov, E. Rajabov
{"title":"On the Geometry of Orbits of Conformal Vector Fields","authors":"A. Narmanov, E. Rajabov","doi":"10.7546/jgsp-51-2019-29-39","DOIUrl":"https://doi.org/10.7546/jgsp-51-2019-29-39","url":null,"abstract":"","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196014","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
Fermi-Walker Parallel Transport According to Quasi Frame in Three Dimensional Minkowski Space 三维闵可夫斯基空间中准坐标系下的费米-沃克平行输运
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-54-2019-1-12
N. Gürbüz, D. Yoon
{"title":"Fermi-Walker Parallel Transport According to Quasi Frame in Three Dimensional Minkowski Space","authors":"N. Gürbüz, D. Yoon","doi":"10.7546/jgsp-54-2019-1-12","DOIUrl":"https://doi.org/10.7546/jgsp-54-2019-1-12","url":null,"abstract":"A relativistic observer ξ needs reference frames in order to measure the movement and position of a object. If ξ is free falling, its restspaces are transported with LeviCivita parallelism. For accelerated observes, the restspaces are not transported by the Levi-Civita parallelism. In this case Fermi-Walker parallelism is used to define constant directions. Fermi-Walker parallelism is an isometry between the tangent spaces along relativistic observer ξ. [6, 11]. Balakrishnan et al investigated time evolutions of the space curve associated with a geometric phase using Fermi-Walker parallel transport in three dimensional Euclidean space [2]. Gürbüz had introduced new geometric phases according three classes of a curve evolution in Minkowski space [7, 8]. Usual Fermi-Walker parallel derivative for any vector field A is given with respect to Frenet frame {t, n, b} in three dimensional Euclidean space as following (cf. [9]) DfA Dfs = dA","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196444","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
Modeling of Minimal Surface Based on an Isotropic Bezier Curve of Fifth Order 基于五阶各向同性Bezier曲线的最小曲面建模
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/JGSP-52-2019-1-15
N. Ausheva, V. Olevskyi, Yu. B. Olevska
{"title":"Modeling of Minimal Surface Based on an Isotropic Bezier Curve of Fifth Order","authors":"N. Ausheva, V. Olevskyi, Yu. B. Olevska","doi":"10.7546/JGSP-52-2019-1-15","DOIUrl":"https://doi.org/10.7546/JGSP-52-2019-1-15","url":null,"abstract":"A method is proposed for constructing minimal surfaces based on fifth-order Bezier isotropic curves specified in a vector-parametric form, allowing control of the guide curve and the surface in user mode. The coefficients of the basic quadratic forms were calculated and it was shown that the surfaces would be minimal. An example of a surface constructed by the proposed method is given.","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196845","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: 4
Bi-Hamiltonian Structures on the Tangent Bundle to a Poisson Manifold 泊松流形切束上的双哈密顿结构
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-52-2019-47-66
A. Dobrogowska, G. Jakimowicz, Karolina Wojciechowicz
{"title":"Bi-Hamiltonian Structures on the Tangent Bundle to a Poisson Manifold","authors":"A. Dobrogowska, G. Jakimowicz, Karolina Wojciechowicz","doi":"10.7546/jgsp-52-2019-47-66","DOIUrl":"https://doi.org/10.7546/jgsp-52-2019-47-66","url":null,"abstract":"Communicated by Alexandar B. Yanovski Abstract. In the case when M is equipped with a bi-Hamiltonian structure (M,π1, π2) we show how to construct family of Poisson structures on the tangent bundle TM to a Poisson manifold. Moreover we present how to find Casimir functions for those structures and we discuss some particular examples. MSC : 53D17, 37K10","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196503","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: 1
Eigenvectors of the SO(3,${mathbb{R}}$) Matrices SO(3，${mathbb{R}}$)矩阵的特征向量
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-53-2019-85-102
A. Sasane, V. Ufnarovski
{"title":"Eigenvectors of the SO(3,${mathbb{R}}$) Matrices","authors":"A. Sasane, V. Ufnarovski","doi":"10.7546/jgsp-53-2019-85-102","DOIUrl":"https://doi.org/10.7546/jgsp-53-2019-85-102","url":null,"abstract":"","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196847","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 Twisted Sasaki Metric 扭曲佐佐木度规的几何
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-53-2019-1-19
L. Belarbi, H. Elhendi
{"title":"Geometry of Twisted Sasaki Metric","authors":"L. Belarbi, H. Elhendi","doi":"10.7546/jgsp-53-2019-1-19","DOIUrl":"https://doi.org/10.7546/jgsp-53-2019-1-19","url":null,"abstract":"","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196887","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: 7
Some Geometrical Aspects of Einstein, Ricci and Yamabe Solitons 爱因斯坦、里奇和山部孤子的一些几何方面
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-52-2019-17-26
A. Blaga
{"title":"Some Geometrical Aspects of Einstein, Ricci and Yamabe Solitons","authors":"A. Blaga","doi":"10.7546/jgsp-52-2019-17-26","DOIUrl":"https://doi.org/10.7546/jgsp-52-2019-17-26","url":null,"abstract":"","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196482","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: 20
Charge of D-Branes d膜的电荷
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-51-2019-87-102
A. Viña
{"title":"Charge of D-Branes","authors":"A. Viña","doi":"10.7546/jgsp-51-2019-87-102","DOIUrl":"https://doi.org/10.7546/jgsp-51-2019-87-102","url":null,"abstract":"","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196218","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
Relations Between Laplace Spectra and Geometric Quantization of Reimannian Symmetric Spaces 黎曼对称空间拉普拉斯谱与几何量化的关系
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/JGSP-51-2019-9-28
D. Grantcharov, G. Grantcharov
{"title":"Relations Between Laplace Spectra and Geometric Quantization of Reimannian Symmetric Spaces","authors":"D. Grantcharov, G. Grantcharov","doi":"10.7546/JGSP-51-2019-9-28","DOIUrl":"https://doi.org/10.7546/JGSP-51-2019-9-28","url":null,"abstract":"Communicated by Ivaïlo M. Mladenov Abstract. We consider a modified Kostant-Souriau geometric quantization scheme due to Czyz and Hess for Hamiltonian systems on the cotangent bundles of compact rank-one Riemannian symmetric spaces (CROSS). It is used, together with a symplectic reduction process, to relate its energy spectrum to the spectrum of the Laplace-Beltrami operator. Moreover, the corresponding eigenspaces have real dimension equal to the complex dimension of the space of the holomorphic sections of the quantum bundle which is obtained after the quantization. The relation between the two constructions was first noticed by Mladenov and Tsanov for the case of the spheres. In addition to the CROSS case, we announce preliminary results related to the case of compact Riemannian symmetric spaces of higher rank.","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196335","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: 1
Wigner Functions and Weyl Operators on the Euclidean Motion Group 欧几里得运动群上的Wigner函数和Weyl算子
IF 0.4
Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI: 10.7546/jgsp-54-2019-37-54
L. B. Natividad, Job A. Nable
{"title":"Wigner Functions and Weyl Operators on the Euclidean Motion Group","authors":"L. B. Natividad, Job A. Nable","doi":"10.7546/jgsp-54-2019-37-54","DOIUrl":"https://doi.org/10.7546/jgsp-54-2019-37-54","url":null,"abstract":"","PeriodicalId":43078,"journal":{"name":"Journal of Geometry and Symmetry in Physics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71196519","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
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