Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application

Year 2024, Issue: 48, 90 - 98, 30.09.2024

Amine Yılmaz

https://doi.org/10.53570/jnt.1527579

Abstract

In 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality. The present paper aims to establish a Chen inequality for quaternionic generic submanifolds in a quaternionic space form and obtain this inequality for real hypersurfaces.

Keywords

Chen-type inequality, generic submanifold, quaternionic space form, real hypersurfaces

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