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A SHARP INTEGRAL INEQUALITY FOR COMPACT LINEAR WEINGARTEN HYPERSURFACES
de
Lima
, Henrique F ; dos Santos, Fabio
R
; Rocha, Lucas S
Taehan Suhakhoe hoebo, 2022, Vol.59 (3), p.789-799
[Peer Reviewed Journal]
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Title:
A SHARP INTEGRAL INEQUALITY FOR COMPACT LINEAR WEINGARTEN HYPERSURFACES
Author:
de
Lima
, Henrique F
;
dos Santos, Fabio
R
;
Rocha, Lucas S
Is Part Of:
Taehan Suhakhoe hoebo, 2022, Vol.59 (3), p.789-799
Notes:
KISTI1.1003/JNL.JAKO202216148556300
Description:
We establish a sharp integral inequality related to compact (without boundary) linear Weingarten hypersurfaces (immersed) in a locally symmetric Einstein manifold and we apply it to characterize totally umbilical hypersurfaces and isoparametric hypersurfaces with two distinct principal curvatures, one which is simple, in such an ambient space. Our approach is based on the ideas and techniques introduced by Alías and Meléndez in [4] for the case of hypersurfaces with constant scalar curvature in an Euclidean round sphere.
Language:
Korean
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