Preprint
Article
An Algebraic Inequality with Applications to Certain Chen Inequalities
This version is not peer-reviewed.
Submitted:
07 January 2021
Posted:
08 January 2021
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Abstract
We give a simple proof of the Chen inequality for the Chen invariant $\underbrace{\delta (2,...,2)}_{k\mbox{ terms}}$ of submanifolds in Riemannian space forms.
Keywords:
Riemannian space form
; submanifold
; Chen invariants
; Chen inequalities.
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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