ON MEAN CURVATURES OF A PARALLEL CONVEX BODY

doi:10.1016/S0252-9602(08)60050-8

数学物理学报(英文版)

ON MEAN CURVATURES OF A PARALLEL CONVEX BODY

周家足; 姜德烁

西南大学数学与统计学院, 重庆 400715

收稿日期:2006-07-24 修回日期:1900-01-01 出版日期:2008-07-20 发布日期:2008-07-20
通讯作者: 周家足
基金资助:
Supported in part by NNSFC (10671159) and by Hong Kong Qiu Shi Science and Technologies Research Foundation

ON MEAN CURVATURES OF A PARALLEL CONVEX BODY

Zhou Jiazu; Jiang Deshuo

School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
Department of Mathematics, Polytechnic University, Brooklyn, New York 11201, USA

Received:2006-07-24 Revised:1900-01-01 Online:2008-07-20 Published:2008-07-20
Contact: Zhou Jiazu

摘要/Abstract

摘要：

n this article, we obtain some results about the mean curvature
integrals of the parallel body of a convex set in Rⁿ. These
mean curvature integrals are generalizations of the Santalo's
results.

关键词: Convex body, parallel body, mean curvature, quermassintegrale

Abstract:

n this article, we obtain some results about the mean curvature
integrals of the parallel body of a convex set in Rⁿ. These
mean curvature integrals are generalizations of the Santalo's
results.

Key words: Convex body, parallel body, mean curvature, quermassintegrale

中图分类号:

52A22

周家足; 姜德烁. ON MEAN CURVATURES OF A PARALLEL CONVEX BODY[J]. 数学物理学报(英文版), 2008, 28(3): 489-494.

Zhou Jiazu; Jiang Deshuo. ON MEAN CURVATURES OF A PARALLEL CONVEX BODY[J]. Acta mathematica scientia,Series B, 2008, 28(3): 489-494.

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ON MEAN CURVATURES OF A PARALLEL CONVEX BODY

ON MEAN CURVATURES OF A PARALLEL CONVEX BODY

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