منابع مشابه
Embedding S into R with given integral Gauss curvature and optimal mass transport on S
In [3] A.D. Aleksandrov raised a general question of finding variational statements and proofs of existence of polytopes with given geometric data. The first goal of this paper is to give a variational solution to the problem of existence and uniqueness of a closed convex hypersurface in Euclidean space with prescribed integral Gauss curvature. Our solution includes the case of a convex polytop...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1981
ISSN: 0022-040X
DOI: 10.4310/jdg/1214436104