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FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS |
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Citation: |
Yang Yihu.FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS[J].Chinese Annals of Mathematics B,1995,16(3):341~350 |
Page view: 1056
Net amount: 768 |
Authors: |
Yang Yihu; |
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Abstract: |
The author considers harmonic maps on complete noncompact
manifolds, solves the Dirichlet problem in manifolds with nonnegative
sectional curvature out of a compact set, and proves the Fatou theorem
for harmonic maps into convex balls. |
Keywords: |
Complete manifold, Harmonic map, Convex ball,
Fatou property |
Classification: |
58E20 |
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