Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 4, Issue 1


Published
on

June 24, 2019


Pages

113-128


DOI

Article

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

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Authors

Sunil Kumar Yadav Affiliation:
Department of Mathematics, Poornima college of Engineering, ISI-6, RIICO, Institutional Area, Sitapura, Jaipur, 302022 Rajasthan, India


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.


Keywords

Generalized recurrent (LCS)2n+1-manifolds, extended generalized ϕ-recurrent (LCS)2n+1-manifolds, concircular curvature tensor, ϕ-sectional curvature and D-homothetic deformation, 53C10, 53C25, 53C40


Citation

Yadav, S. K. (2019). Some results on d-homothetic deformation of (LCS)2n+1-manifolds. Applied Mathematics and Nonlinear Sciences, 4(1), 113–128. https://doi.org/10.2478/AMNS.2019.1.00012
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