Polyharmonic hypersurfaces into pseudo-Riemannian space forms
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10231-022-01263-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7459 |
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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 |
8.893527 |