{"title":"On 2-Riemannian manifolds","authors":"C. Morales, M. Vilches","doi":"10.55937/sut/1280430129","DOIUrl":"https://doi.org/10.55937/sut/1280430129","url":null,"abstract":"A {em 2-Riemannian manifold} is a differentiable manifold exhibiting a 2-inner product on each tangent space. We first study lower dimensional 2-Riemannian manifolds by giving necessary and sufficient conditions for flatness. Afterward we associate to each 2-Riemannian manifold a unique torsion free compatible pseudoconnection. Using it we define a curvature for 2-Riemannian manifolds and study its properties. We also prove that 2-Riemannian pseudoconnections do not have Koszul derivatives. Moreover, we define stationary vector field with respect to a 2-Riemannian metric and prove that the stationary vector fields in $mathbb{R}^2$ with respect to the 2-Riemannian metric induced by the Euclidean product are the divergence free ones.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"141 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76694677","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}
{"title":"On supermagic coverings of fans and ladders","authors":"A. Ngurah, A. Salman, I. W. Sudarsana","doi":"10.55937/sut/1280430657","DOIUrl":"https://doi.org/10.55937/sut/1280430657","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82750958","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}
{"title":"Quarter-symmetric metric connection on 3-dimensional quasi-Sasakian manifolds","authors":"A. Mondal","doi":"10.55937/sut/1280431052","DOIUrl":"https://doi.org/10.55937/sut/1280431052","url":null,"abstract":"The object of the present paper is to study a quarter-symmetric metric connection on a 3-dimensional quasi-Sasakian manifold. The existence of the connection is given on a Riemannian manifold. We deduce the relation be- tween the Riemannian connection and the quarter-symmetric metric connection on a 3-dimensional quasi-Sasakian manifold. We investigate the curvature ten- sor and the Ricci tensor of a 3-dimensional quasi-Sasakian manifold with respect to the quarter-symmetric metric connection. We study the projective curvature tensor with respect to the quarter-symmetric metric connection and also charac- terized ξ−projectively flat and φ−projectively flat 3-dimensional quasi-Sasakian manifold with respect to the quarter-symmetric metric connection. Finally we study locally φ−symmetric 3-dimensional quasi-Sasakian manifold with respect to the quarter-symmetric metric connection. AMS 2000 Mathematics Subject Classification. 53C15, 53C40.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82114333","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}
{"title":"On super mean labeling of some graphs","authors":"P. Jeyanthi, D. Ramya, P. Thangavelu","doi":"10.55937/sut/1280430775","DOIUrl":"https://doi.org/10.55937/sut/1280430775","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83283746","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}
{"title":"Remarks on linear Schrödinger evolution equations with Coulomb potential with moving center","authors":"N. Okazawa, T. Yokota, K. Yoshii","doi":"10.55937/sut/1280174872","DOIUrl":"https://doi.org/10.55937/sut/1280174872","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"637 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74734957","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}
{"title":"On (2,3) torus decompositions of QL-congurations","authors":"M. Kawashima, Kenta Yoshizaki","doi":"10.55937/sut/1279305513","DOIUrl":"https://doi.org/10.55937/sut/1279305513","url":null,"abstract":"Let $Q$ be an affine quartic which does not intersect transversely with the line at infinity $L_{infty}$. In this paper, we show the existence of a $(2,3)$ torus decomposition of the defining polynomial of $Q$ and its uniqueness except for one class.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88095088","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}
{"title":"Exponential families admitting almost complex structures","authors":"K. Takano","doi":"10.55937/sut/1279305629","DOIUrl":"https://doi.org/10.55937/sut/1279305629","url":null,"abstract":"We discuss exponential families admitting almost complex struc- tures which are parallel relative to an exponential connection (e-connection) or mixture connection (m-connection). The multinomial distribution, negative multinomial distribution and multivariate normal distribution are important examples of the exponential family. We give almost complex structures which are parallel relative to the exponential or mixture connection for these expo- nential families. Also, we prove spaces of the multinomial distribution and negative multinomial distribution are of constant curvature with respect to the α-connection.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75092249","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}
{"title":"Equitable irregular edge-weighting of graphs","authors":"I. S. Hamid, S. A. Kumar","doi":"10.55937/sut/1280430251","DOIUrl":"https://doi.org/10.55937/sut/1280430251","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84746620","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}
{"title":"On Kenmotsu manifolds satisfying certain curvature conditions","authors":"A. Yildiz","doi":"10.55937/sut/1266408087","DOIUrl":"https://doi.org/10.55937/sut/1266408087","url":null,"abstract":"The object of the present paper is to study some curvature con- ditions on Kenmotsu manifolds. Also, we classify Kenmotsu manifolds which satisfy P · ˜ C =0 , ˜","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2009-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86710126","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}
{"title":"Existence of constant sign solutions for the p-Laplacian problems in the resonant case with respect to Fučík spectrum","authors":"Mieko Tanaka","doi":"10.55937/sut/1266408981","DOIUrl":"https://doi.org/10.55937/sut/1266408981","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"63 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2009-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76160149","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}