A Note on Nearly Hyperbolic Cosymplectic Manifolds

Year 2020, Volume: 23 Issue: 4, 1403 - 1406, 01.12.2020

Müge Karadağ

https://doi.org/10.2339/politeknik.765076

Cited By: 1

Abstract

Interest in hyperbolic cosymplectic manifolds has increased in recent years. In this paper, pseudo slant submanifolds of a nearly hyperbolic cosymplectic manifold have been explored deeply. In particular, the integrability conditions of distributions on such manifolds have been investigated. So, for a pseudo submanifold M of a nearly hyperbolic cosymplectic manifold M ̃ which is totally geodesic, D_θ,D_( _μ ) distributions with〖 D〗_( _μ )⊕⟨ξ⟩ and D_θ⊕D_( _μ ) are proved integrable but D_( _θ )⊕⟨ξ⟩ or not.

Keywords

Pseudo slant submanifold, nearly hyperbolic cosymplectic manifold, integrability condition

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