Aleksandrov-Fenchel inequalities for unitary valuations of degree \(2\) and 详细信息    查看全文

• 作者：Judit Abardia ; Thomas Wannerer
• 关键词：Primary 52A40 ; Secondary 53C65
• 刊名：Calculus of Variations and Partial Differential Equations
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：54
• 期：2
• 页码：1767-1791
• 全文大小：589 KB
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• 作者单位：Judit Abardia (1)
  Thomas Wannerer (1)
  
  1. Institut f眉r Mathematik, Goethe-Universit盲t Frankfurt, Robert-Mayer-Str. 10, 60325, Frankfurt am Main, Germany
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Systems Theory and Control
  Calculus of Variations and Optimal Control
  Mathematical and Computational Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0835

文摘

We extend the classical Aleksandrov-Fenchel inequality for mixed volumes to functionals arising naturally in hermitian integral geometry. As a consequence, we obtain Brunn-Minkowski and isoperimetric inequalities for hermitian quermassintegrals. Mathematics Subject Classification Primary 52A40 Secondary 53C65