Weyl estimates for spacelike hypersurfaces in de Sitter space
نویسندگان
چکیده
We study the isometric spacelike embedding problem in scaled de Sitter space, and obtain Weyl-type estimates corresponding closedness space of embeddings.
منابع مشابه
Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter space or anti-de Sitter space
Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and oriented spacelike hypersurface in a de Sitter space or an anti-de Sitter space, $S$ and $K$ be the squared norm of the second fundamental form and Gauss-Kronecker curvature of $M^n$. If $S$ or $K$ is constant, nonzero and $M^n$ has two distinct principal curvatures one of which is simple, we obtain some charact...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2022
ISSN: ['1945-5844', '0030-8730']
DOI: https://doi.org/10.2140/pjm.2022.320.1