A Liouville Type Theorem of Harmonic Maps
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O 186.12

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    Abstract:

    Assuming the radial sectional curvature Kr of the target manifold satisfies |Kr(x)|≤k(1-k)r2(x0,x), where x0 is a pole, k is a constant satisfying some conditions, a harmonic map to any image manifold with slowly divergent energy must be constant. Then it improves the theorems of Reference [3 4] raised.

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ZHOU Chaohui, CHEN Zhihua. A Liouville Type Theorem of Harmonic Maps[J].同济大学学报(自然科学版),2012,40(5):0772~0774

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History
  • Received:March 24,2011
  • Revised:March 29,2012
  • Adopted:October 12,2011
  • Online: June 07,2012
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