Some properties of trans Sasakianmanifolds admitting a quarter-symmetric non-metric connection

Authors

  • C. Lalmalsawma Mizoram University, Aizawl, Mizoram, India
  • J.P. Singh Mizoram University, Aizawl, Mizoram, India

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.1.6

Keywords:

Trans-Sasakian manifolds, quarter-symmetric non-metric connection, Locally symmetric manifolds, Ricci semi-symmetric manifolds, Generalized recurrent manifolds, group manifolds

Abstract

In this paper, we studied some properties of trans Sasakian manifold admitting a quarter-symmetric non-metric connection. We studied some symmetric properties with respect to quarter symmetric non-metric connection and we obtain results in locally symmetric, Ricci semi-symmetric, and generalized recurrent trans Sasakian manifolds. We also obtained the necessary and sufficient conditions for group manifolds.

Author Biographies

C. Lalmalsawma, Mizoram University, Aizawl, Mizoram, India

Mathematics and Computer Science

J.P. Singh, Mizoram University, Aizawl, Mizoram, India

Faculty of Mathematics and Computer Science

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Published

2019-07-12

Issue

Vol. 12(61) No. 1 (2019)

Section

MATHEMATICS