Tangential real hypersurfaces on Hermite-like manifolds

TL;DR

This paper investigates tangential real hypersurfaces in almost Hermite-like manifolds, deriving key identities and exploring associated contact metric structures such as K-contact and cosymplectic types.

Contribution

It introduces the concept of tangential real hypersurfaces and derives fundamental identities, advancing understanding of contact metric structures in this geometric setting.

Findings

Derived main identities for tangential real hypersurfaces

Analyzed conditions for K-contact structures

Explored cosymplectic cases in the context of these hypersurfaces

Abstract

Non-degenerate real hypersurfaces of almost Hermite-like manifolds are examined. Tangential real hypersurfaces are introduced and the main identities of such hypersurfaces are obtained. With the help of these identities, contact metric structures of certain kinds, namely K-contact and cosymplectic cases, are discussed.