scholarly journals On a type of semi-symmetric non-metric connection in HSU-unified structure manifold

2021 ◽  
Author(s):  
Shivani SUNDRİYAL ◽  
Jaya UPRETİ
Keyword(s):  
Metric Connection

A note on derived connections from semi-symmetric metric connections

2017 ◽  
Vol 67 (1) ◽  
pp. 221-226
Author(s):  
Adela Mihai
Keyword(s):  
Open Problem ◽  
Complex Structure ◽  
Kaehler Manifold ◽  
Different Types ◽  
Metric Connection

Abstract In this paper we construct examples of different types of connections starting from a semi-symmetric metric connection g, for example a connection which is a symmetric metric connection with respect to a conformally related metric, but symmetric non-metric with respect to the initial metric. We formulate an open problem: to find a parallel complex structure on a Kaehler manifold with respect to such a new connection.

scholarly journals Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions

Symmetry ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 79
Author(s):  
Tong Wu ◽  
Yong Wang
Keyword(s):  
Riemannian Manifold ◽  
Metric Connection

In this work, the cases of non-integrable distributions in a Riemannian manifold with the first generalized semi-symmetric non-metric connection and the second generalized semi-symmetric non-metric connection are discussed. We obtain the Gauss, Codazzi, and Ricci equations in both cases. Moreover, Chen’s inequalities are also obtained in both cases. Some new examples based on non-integrable distributions in a Riemannian manifold with generalized semi-symmetric non-metric connections are proposed.

scholarly journals Some Results on Weakly Symmetric Kenmotsu Manifolds

2019 ◽  
Vol 7 (1) ◽  
pp. 13-21
Author(s):  
J. P. Singh ◽  
◽  
K. Lalnunsiami
Keyword(s):  
Kenmotsu Manifold ◽  
Kenmotsu Manifolds ◽  
Metric Connection ◽  
Weakly Symmetric ◽  
Symmetric Properties

In this paper, we investigate weakly symmetric, weakly Ricci symmetric, weakly concircular symmetric and weakly concircular Ricci symmetric properties of a Kenmotsu manifold admitting a semi-symmetric metric connection. Some results on weakly -projectively symmetric Kenmotsu manifold with respect to a semi-symmetric metric connection are obtained. An example of a weakly symmetric and weakly Ricci symmetric Kenmotsu manifold with respect to this connection is constructed.

scholarly journals On a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection

2019 ◽  
Vol 57 (2) ◽  
pp. 61-76
Author(s):  
Rajendra Prasad ◽  
Shashikant Pandey ◽  
Abdul Haseeb
Keyword(s):  
Sasakian Manifold ◽  
Metric Connection

Abstract In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection have been studied.

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