What is an optimal embedding?

Fumio,Maitani

2013-05-21T02:56:08Z

2013-05-21T02:56:08Z

1997-08

For two finite compact bordered Riemann surfaces of the same type, assuming the possibility of an embedding one into the other, we consider a preferable embedding. As the one way, we take a subregion which has the minimum capacity among subregions with the same type whose boundaries are homotopic to the boundary of the Riemann surface. It is given as a subregion whose boundary consists of trajectories of a quadratic holomorphic differential; hence the boundary is analytic.

The 5 th International Conference of Finite or Infinite Dimensional (at Peking University in Beijing,August 1997)

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http://hdl.handle.net/10212/2111

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