Item Infomation
Title: | Polyharmonic hypersurfaces into pseudo-Riemannian space forms |
Authors: | V., Branding S., Montaldo C., Oniciuc |
Issue Date: | 2022 |
Publisher: | Springer |
Abstract: | 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. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s10231-022-01263-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7459 |
Appears in Collections | OER - Khoa học Tự nhiên |
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