Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON A RIGIDITY OF HARMONIC DIFFEOMORPHISM BETWEEN TWO RIEMANN SURFACES

  • KIM, TAESOON (Department of Mathematics Education Mokwon University)
  • Received : 2005.11.10
  • Accepted : 2005.12.05
  • Published : 2005.12.25
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Abstract

One of the basic questions concerning harmonic map is on the existence of harmonic maps satisfying a certain condition. Rigidity of a certain harmonic map can be considered as an answer for this kinds of questions. In this article, we study a rigidity property of harmonic diffeomorphisms under the condition that the inverse map is also harmonic. We show that every such a harmonic diffeomorphism is totally geodesic or conformal in two dimensional case.

Keywords

References

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