• 講演者:岩崎 千里 氏(兵庫県立大学)
    • 題目:Construction of the fundamental solution and a local index
    • 日時:平成 21年 10月 6日(火)14:45-15:30

I will show a local version of Gauss-Bonnet-Chern theorem on Riemannian manifolds with boundary and its generalization are obtained by construction of the fundamental solution as follows: The fundamental solution for initial-boundary problem is constructed by symbolic calculus of pseudo-differential operators, if we introduce a new weight for symbols.

Also a local version of Riemann-Roch theorem on Kaehler manifolds can be obtained by the similar methods.

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  • colloquium/2009/fg07.txt
  • 最終更新: 2017/11/17 23:29
  • by 127.0.0.1