The Christoffel-Minkowski Problem II: Weingarten Curvature Equations

Citation:

Pengfei GUAN,Changshou LIN,Xi’nan MA.The Christoffel-Minkowski Problem II: Weingarten Curvature Equations[J].Chinese Annals of Mathematics B,2006,27(6):595~614
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Authors:

Pengfei GUAN; Changshou LIN;Xi’nan MA

Foundation:

Project supported by the NSERC Discovery Grant, the Fok Ying Tung Eduction Foundation, the National Natural Science Foundation of China (No.10371041) and Hundred Talents Program of Chinese Academy of Sciences.
Abstract: In this paper the authors discuss the existence and convexity of hypersurfaces with prescribed Weingarten curvature.

Keywords:

Existence, Convexity, Weingarten curvature

Classification:

35J60, 58G11
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