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On the T-Connection in Riemannian Manifolds
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作者 Ali Haji-Badali 《Journal of Mathematics and System Science》 2014年第11期715-719,共5页
The conjugate of T-connection in a Riemannian manifold is obtained, also some of its properties are studied. T-statistical manifold is defined and was considered. Finally a characteristic vector field of the deformati... The conjugate of T-connection in a Riemannian manifold is obtained, also some of its properties are studied. T-statistical manifold is defined and was considered. Finally a characteristic vector field of the deformation algebra (M, , ) is also obtained. 展开更多
关键词 T-connection Conjugate connection Semi-symmetric connection Semi-symmetric and quarter-symmetric non-metricconnection quarter-symmetric metric connection Deformation algebra.
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Certain Curvature Conditions on P-Sasakian Manifolds Admitting a Quater-Symmetric Metric Connection 被引量:1
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作者 Uday Chand DE Peibiao ZHAO +1 位作者 Krishanu MANDAL Yanling HAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2020年第1期133-146,共14页
The authors consider a quarter-symmetric metric connection in a P-Sasakian manifold and study the second order parallel tensor in a P-Sasakian manifold with respect to the quarter-symmetric metric connection. Then Ric... The authors consider a quarter-symmetric metric connection in a P-Sasakian manifold and study the second order parallel tensor in a P-Sasakian manifold with respect to the quarter-symmetric metric connection. Then Ricci semisymmetric P-Sasakian manifold with respect to the quarter-symmetric metric connection is considered. Next the authors study ξ-concircularly flat P-Sasakian manifolds and concircularly semisymmetric P-Sasakian manifolds with respect to the quarter-symmetric metric connection. Furthermore, the authors study P-Sasakian manifolds satisfying the condition Z(ξ,Y)·S=0,where Z,S are the concircular curvature tensor and Ricci tensor respectively with respect to the quarter-symmetric metric connection. Finally, an example of a 5-dimensional P-Sasakian manifold admitting quarter-symmetric metric connection is constructed. 展开更多
关键词 quarter-symmetric METRIC CONNECTION P-Sasakian MANIFOLD RICCI semisymmetric MANIFOLD ξ-Concircularly flat Concircularly semisymmetric
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