Certain basic inequalities for submanifolds in a (k, u)-contact space form

TL;DR

This paper establishes fundamental inequalities relating intrinsic and extrinsic invariants of submanifolds within (k, u)-contact space forms, providing new insights into their geometric properties.

Contribution

It introduces new inequalities for submanifolds in (k, u)-contact space forms and applies these results to invariant submanifolds, advancing understanding in contact geometry.

Findings

Derived basic inequalities between invariants

Applied inequalities to invariant submanifolds

Enhanced understanding of submanifold geometry in contact spaces

Abstract

Certain basic inequalities between intrinsic and extrinsic invariants for a submanifold in a (k, m)-contact space form are obtained. As applications we get some results for invariant submanifolds in a (k,m)-contact space form.