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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.
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.
Subject
MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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