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Polyharmonic hypersurfaces into pseudo-Riemannian space forms

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Bibliographic Details
Main Authors: V., Branding, S., Montaldo, C., Oniciuc
Format: Book
Language:English
Published: Springer 2023
Subjects:
Mmt′
CMC
Online Access:https://link.springer.com/article/10.1007/s10231-022-01263-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7459
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spelling oai:localhost:PNK-74592023-04-04T01:21:36Z Polyharmonic hypersurfaces into pseudo-Riemannian space forms V., Branding S., Montaldo C., Oniciuc Mmt′ CMC CC BY In this paper, we shall assume that the ambient manifold is a pseudo-Riemannian space form Nm+1t(c) of dimension m+1 and index t (m≥2 and 1≤t≤m). We shall study hypersurfaces Mmt′ which are polyharmonic of order r (briefly, r-harmonic), where r≥3 and either t′=t or t′=t−1. Let A denote the shape operator of Mmt′. Under the assumptions that Mmt′ is CMC and TrA2 is a constant, we shall obtain the general condition which determines that Mmt′ is r-harmonic. 2023-04-04T01:21:36Z 2023-04-04T01:21:36Z 2022 Book https://link.springer.com/article/10.1007/s10231-022-01263-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7459 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Mmt′
CMC
spellingShingle Mmt′
CMC
V., Branding
S., Montaldo
C., Oniciuc
Polyharmonic hypersurfaces into pseudo-Riemannian space forms
description CC BY
format Book
author V., Branding
S., Montaldo
C., Oniciuc
author_facet V., Branding
S., Montaldo
C., Oniciuc
author_sort V., Branding
title Polyharmonic hypersurfaces into pseudo-Riemannian space forms
title_short Polyharmonic hypersurfaces into pseudo-Riemannian space forms
title_full Polyharmonic hypersurfaces into pseudo-Riemannian space forms
title_fullStr Polyharmonic hypersurfaces into pseudo-Riemannian space forms
title_full_unstemmed Polyharmonic hypersurfaces into pseudo-Riemannian space forms
title_sort polyharmonic hypersurfaces into pseudo-riemannian space forms
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10231-022-01263-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7459
_version_ 1762274896518316032
score 8.891145

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