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The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*

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Abstract

In this paper the authors discuss the existence and convexity of hypersurfaces with prescribed Weingarten curvature.

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Authors and Affiliations

  1. Department of Mathematics, McGill University, Montreal, Quebec, H3A 2K6, Canada

    Pengfei Guan

  2. Department of Mathematics, National Chung Cheng University, Chia-Yi, Taiwan, China

    Changshou Lin

  3. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

    Xi'nan Ma

Authors
  1. Pengfei Guan
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  2. Changshou Lin
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  3. Xi'nan Ma
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Corresponding author

Correspondence to Pengfei Guan.

Additional information

* 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.

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Guan, P., Lin, C. & Ma, X. The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*. Chin. Ann. Math. Ser. B 27, 595–614 (2006). https://doi.org/10.1007/s11401-005-0575-0

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  • DOI: https://doi.org/10.1007/s11401-005-0575-0

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