On $\phi$-symmetric LP-Sasakian Manifolds admitting semi-symmetric metric connection

Absos Ali Shaikh; Shyamal Kumar Hui

On $\phi$-symmetric LP-Sasakian Manifolds admitting semi-symmetric metric connection

Differential Geometry 2015-04-30 v1

Authors: Absos Ali Shaikh , Shyamal Kumar Hui

Abstract

The object of the present paper is to study locally $\phi$ -symmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally $\phi$ -symmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally $\phi$ -symmetric LP-Sasakian manifold with respect to Levi-Civita connection.

Keywords

LP-Sasakian manifold phi-symmetric manifold semi-symmetric metric connection Levi-Civita connection locally phi-symmetric differential geometry Sasakian geometry

Cite

@article{arxiv.1504.07931,
  title  = {On $\phi$-symmetric LP-Sasakian Manifolds admitting semi-symmetric metric connection},
  author = {Absos Ali Shaikh and Shyamal Kumar Hui},
  journal= {arXiv preprint arXiv:1504.07931},
  year   = {2015}
}

Comments

The paper contains 16 pages. The paper have been already submitted to a journal on 24th December, 2014

On $\phi$-symmetric LP-Sasakian Manifolds admitting semi-symmetric metric connection

Abstract

Keywords

Cite

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