Some results on D-homothetic deformation of (LCS)2n+1-manifolds

Author:

Yadav Sunil Kumar1

Affiliation:

1. Department of Mathematics, Poornima college of Engineering , ISI-6, RIICO, Institutional Area, Sitapura , Jaipur , 302022 Rajasthan , India

Abstract

Abstract The present paper deals with the study of a D-homothetic deformation of an extended generalized ϕ-recurrent (LCS)2n+1-manifolds their geometrical properties are discussed. Finally, we construct an example of an extended generalized ϕ-recurrent (LCS)3-manifolds that are neither ϕ-recurrent nor generalized ϕ-recurrent under such deformation is constructed.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Reference27 articles.

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2. K. Matsumoto, On Lorentzian almost para-contact manifolds, Bull. Yamagata Univ. Nature. Sci. 12 (1989) 151-156.

3. A. A. Shaikh, On Lorentzian almost para-contact manifolds with a structure of the con-circular type, Kyungpook Math. J. 43 (2003) 305-314.

4. A. A. Shaikh, T. Basu and S. Eyasmin, On locally ϕ-symmetric (LCS)n-manifolds, Int. J. Pure Appl. Math. 41 (8) (2007) 1161-1170.

5. A. A. Shaikh, T. Basu and S. Eyasmin, On the existence of ϕ-recurrent (LCS)2n+1-manifolds, Extr. Math. 23 (1) (2008) 71-83.

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