Spacelike submanifolds with parallel mean curvature vector in the de Sitter space: characterizations and gaps-Reference-Cited by-同舟云学术

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Spacelike submanifolds with parallel mean curvature vector in the de Sitter space: characterizations and gaps

Published:2023-10-10 Issue: Volume: Page:
ISSN:0009-725X
Container-title:Rendiconti del Circolo Matematico di Palermo Series 2
language:en
Short-container-title:Rend. Circ. Mat. Palermo, II. Ser

Author:

Barboza Weiller F. C.,de Lima Henrique F.^ORCID,Velásquez Marco Antonio L.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Apoio à Pesquisa do Estado da Paraíba

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s12215-023-00955-8.pdf

Reference29 articles.

1. Aiyama, R.: Compact spacelike $$m$$-submanifolds in a pseudo-Riemannian sphere $${\mathbb{S} }_p^{m+p}(c)$$. Tokyo J. Math. 18, 81–90 (1995)

2. Akutagawa, K.: On spacelike hypersurfaces with constant mean curvature in the de Sitter space. Math. Z. 196, 13–19 (1987)

3. Anmim, L., Jimin, L.: An intrinsic rigidity theorem for minimal submanifolds in a sphere. Arch. Math. 58, 582–594 (1992)

4. Alías, L.J., Caminha, A., do Nascimento, F.Y.: A maximum principle at infinity with applications to geometric vector fields. J. Math. Anal. Appl. 474, 242–247 (2019)

5. Alías, L.J., Caminha, A., do Nascimento, F.Y.: A maximum principle related to volume growth and applications. Ann. Mat. Pura Appl. 200, 1637–1650 (2021)

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