Certain results of $(LCS)_{n}$-manifolds endowed with $E$-Bochner curvature tensor

R. T. Naveen Kumar; Polaepalli Siva Kota Reddy; Venkatesha

doi:10.5269/bspm.65813

R. T. Naveen Kumar Siddaganga Institute of Technology
Polaepalli Siva Kota Reddy JSS Science and Technology University https://orcid.org/0000-0003-4033-8148
Venkatesha Kuvempu University https://orcid.org/0000-0002-2799-2535

Abstract

In this paper, we study geometry of $(LCS)_{n}$-manifold focusing on some conditions of $E$-Bochner curvature tensor. First, we describe an $E$-Bochner pseudo-symmetric $(LCS)_{n}$-manifold is never reduces to $E$-Bochner semi-symmetric manifold under the condition ($(\alpha^{2}-\rho)\neq0$). Next, we characterize certain results of $(LCS)_{n}$-manifold satisfying $B^{e}(U,V)\xi=0$, $B^{e}(\xi,V)\cdot B^{e}=0$ and $B^{e}(\xi,V)\cdot S=0$.

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Author Biographies

R. T. Naveen Kumar, Siddaganga Institute of Technology

Department of Mathematics

Polaepalli Siva Kota Reddy, JSS Science and Technology University

Department of Mathematics.

Venkatesha, Kuvempu University

Department of Mathematics

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