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ON MEAN CURVATURES OF A PARALLEL CONVEX BODY 被引量:3

ON MEAN CURVATURES OF A PARALLEL CONVEX BODY
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摘要 In this article, we obtain some results about the mean curvature integrals of the parallel body of a convex set in R^n. These mean curvature integrals are generalizations of the Santalo's results. In this article, we obtain some results about the mean curvature integrals of the parallel body of a convex set in R^n. These mean curvature integrals are generalizations of the Santalo's results.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2008年第3期489-494,共6页 数学物理学报(B辑英文版)
基金 Supported in part by NNSFC(10671159) Hong Kong Qiu Shi Science and Technologies Research Foundation
关键词 Convex body parallel body mean curvature quermassintegrale Convex body, parallel body, mean curvature, quermassintegrale
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参考文献5

  • 1Kubota T, Hemmi D. Some problems of minima concerning the oval. J Math Soc Japan, 1953, 5:372-389
  • 2Ren D. Topics in Integral Geometry. Singapore: World Scientific, 1994
  • 3Santalo L A. On the mean curvatures of a flattened convex body. Rev Fac Sci Univ Istanbul, 1956, 21: 189-194
  • 4Santalo L A. Integral Geometry and Geometric Probability. Reading, Mass: Addison-Wesley, 1976
  • 5Schneider R. Convex Bodies: The Brunn-Minkowski Theory. Cambridge: Cambridge University Press, 1993

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