Biharmonic Hypersurfaces in Pseudo-Riemannian Space Forms with at Most Two Distinct Principal Curvatures
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we show that biharmonic hypersurfaces with at most two distinct principal curvatures in pseudo-Riemannian space form Nsn+1c with constant sectional curvature c and index s have constant mean curvature.
Furthermore, we find that such biharmonic hypersurfaces Mr2k−1 in even-dimensional pseudo-Euclidean space Es2k, Ms−12k−1 in even-dimensional de Sitter space Ss2kcc>0, and Ms2k−1 in even-dimensional anti-de Sitter space ℍs2kcc<0 are minimal.
American Psychological Association (APA)
Yang, Chao& Liu, Jiancheng. 2020. Biharmonic Hypersurfaces in Pseudo-Riemannian Space Forms with at Most Two Distinct Principal Curvatures. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185239
Modern Language Association (MLA)
Yang, Chao& Liu, Jiancheng. Biharmonic Hypersurfaces in Pseudo-Riemannian Space Forms with at Most Two Distinct Principal Curvatures. Journal of Function Spaces No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1185239
American Medical Association (AMA)
Yang, Chao& Liu, Jiancheng. Biharmonic Hypersurfaces in Pseudo-Riemannian Space Forms with at Most Two Distinct Principal Curvatures. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185239
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185239