Hopf-type hypersurfaces on Hermite-like manifolds

TL;DR

This paper introduces new classes of hypersurfaces in almost product-like statistical manifolds, exploring their properties and relations in various geometric contexts, and providing illustrative examples.

Contribution

It presents novel classes of hypersurfaces in Hermite-like manifolds and analyzes their main properties and relations, expanding the understanding of such geometric structures.

Findings

Characterization of hypersurfaces in $K$-para contact and para Sasakian manifolds

Relations between different types of hypersurfaces

Examples illustrating the new classes of hypersurfaces

Abstract

The object of this paper is to introduce new classes of hypersurfaces of almost product-like statistical manifolds. The main properties and relations on $K-$para contact, para cosymplectic, para Sasakian and conformal hypersurfaces are obtained. Some examples of these hypersurfaces are presented.