Harmonic Diffeomorphisms between Complete Surfaces

Author: Wu D.1

Source: Annals of Global Analysis and Geometry, Volume 15, Number 2, April 1997 , pp. 133-139(7)

Publisher: Springer

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Abstract:

We prove an existing theorem of homotopic harmonic diffeomorphisms between complete surfaces of finite total curvature and nontrivial genus. This is a generalization of a theorem of Jost and Schoen [4].

Keywords: complete surface of finite total curvature; energy; degree; harmonic diffeomorphism; homotopy; minimizing map; power

Language: English

Document Type: Regular paper

Affiliations: 1: Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China (E-mail: mawudc@ccvax.sinica.edu.tw)

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