Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 10 Issue 4
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- Pages.931-941
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
EXISTENCE OF HOMOTOPIC HARMONIC MAPS INTO METRIC SPACE OF NONPOSITIVE CURVATURE
Abstract
The definitions and techniques, which deals with homotopic harmonic maps from a compact Riemannian manifold into a compact metric space, developed by N. J. Korevaar and R. M. Schoen [7] can be applied to more general situations. In this paper, we prove that for a complicated domain, possibly noncompact Riemannian manifold with infinitely generated fundamental group, the existence of homotopic harmonic maps can be proved if the initial map is simple in some sense.