Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 3
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- Pages.789-796
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
Harmonic maps into open manifolds with nonnegative curvature
- Kim, Young-Heon (Department of Mathematics, Korea Advanced Institute of Science and Technology) ;
- Yim, Jin-Whan (Department of Mathematics, Korea Advanced Institute of Science and Technology)
- Published : 1996.07.01
Abstract
A complete open manifold with nonnegative curvature is diffeomorphic to the normal bundle of the soul, and the projection map is a Riemannian submersion. Under certain circumstances, we prove that a harmonic map from a compact manifold followed by the projection is again harmonic. Therefore we obtain a harmonic map onto the soul when there is a harmonic map into an open manifold.