Certain Results for Invariant Submanifolds of an Almost $\alpha$-Cosymplectic $(k,\mu ,\nu )$-Space

Year 2024, , 93 - 100, 14.04.2024

Pakize Uygun Mehmet Atçeken Tuğba Mert

https://doi.org/10.36753/mathenot.1395051

Abstract

In this paper we present invariant submanifolds of an almost $\alpha $-cosymplectic $(k, \mu, \nu)$-space. Then, we gave some results for an invariant submanifold of an almost $\alpha $-cosymplectic $(k,\mu,\nu)$-space to be totally geodesic. As a result, we have discovered some interesting conclusions about invariant submanifolds of an almost cosymplectic $(k, \mu, \nu)$-space.

Keywords

$W_{1}^{\ast }$-curvature tensor, $\alpha$-cosymlectic $(k,\mu,\nu)$-space, $W_{7}$-curvature tensor

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