Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form
نویسندگان
چکیده
منابع مشابه
Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form
In this paper, we establish several sufficient conditions for a compact spacelike surface with non-degenerate second fundamental form in the 3-dimensional de Sitter space to be spherical. With this aim, we develop a formula for these surfaces which involves the mean and Gaussian curvatures of the first fundamental form and the Gaussian curvature of the second fundamental form. By means of that ...
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We give a mathematical foundation for, and numerical demonstration of, the existence of mean curvature 1 surfaces of genus 1 with either two elliptic ends or two hyperbolic ends in de Sitter 3-space. An end of a mean curvature 1 surface is an “elliptic end” (resp. a “hyperbolic end”) if the monodromy matrix at the end is diagonalizable with eigenvalues in the unit circle (resp. in the reals). A...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2003
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(03)00019-6