Working Paper Article Version 1 This version is not peer-reviewed

An Algebraic Inequality with Applications to Certain Chen Inequalities

Version 1 : Received: 7 January 2021 / Approved: 8 January 2021 / Online: 8 January 2021 (11:47:18 CET)

A peer-reviewed article of this Preprint also exists.

Journal reference: Axioms 2020
DOI: 10.3390/axioms10010007


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.

Subject Areas

Riemannian space form; submanifold; Chen invariants; Chen inequalities.

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