Hypersurfaces of prescribed Weingarten curvature
نویسندگان
چکیده
منابع مشابه
Hypersurfaces of Prescribed Curvature Measure
We consider the corresponding Christoffel-Minkowski problem for curvature measures. The existence of star-shaped (n − k)-convex bodies with prescribed k-th curvature measures (k > 0) has been a longstanding problem. This is settled in this paper through the establishment of a crucial C a priori estimate for the corresponding curvature equation on S.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 1997
ISSN: 0025-5874
DOI: 10.1007/pl00004580