Publication:
L1-2-Type Surfaces in 3-Dimensional De Sitter and Anti De Sitter Spaces

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10.1007_s40840-023-01535-w_paper.pdf(365.75 KB)
Date
2023-06-01
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Authors
García Martínez, S. Carolina ; Lucas Saorín, Pascual ; Ramírez Ospina, H. Fabián
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Publisher
Springer
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Matemáticas
DOI
https://doi.org/10.1007/s40840-023-01535-w
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Abstract
Let be an orientable surface immersed in the De Sitter space or anti de Sitter space . In the case that is of -2-type we prove that the following conditions are equivalent to each other: has a constant principal curvature; has constant mean curvature; has constant second mean curvature. As a consequence, we also show that an -2-type surface is either an open portion of a standard pseudo-Riemannian product, or a B-scroll over a null curve, or else its mean curvature, its Gaussian curvature and its principal curvatures are all non-constant.
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Anti de sitter space , De sitter space , L1 2 type surface , B scroll , Cheng-Yau operator , Newton transformation
Citation
Bulletin of the Malaysian Mathematical Sciences Society, 2023, Vol. 46 : 139
URI
http://hdl.handle.net/10201/164730
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