Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold
Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold
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DOI：
10.1007/s10455-014-9410-8
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发表时间：
2013-05
影响因子：
0.7
通讯作者：
S. Maeta
中科院分区：
文献类型：
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作者：
S. Maeta
我们考虑从完备黎曼流形到具有非正截曲率的黎曼流形的双调和映射。假设这是令人满意的。如果是这样的，且的张量场在哪里，那么我们就证明它是调和的.对于双调和子流形，我们得到上述假设是不必要的。这些结果对广义Chen猜想的全球版本给出了肯定的部分答案。
We consider biharmonic mapsfrom a complete Riemannian manifold into a Riemannian manifold with non-positive sectional curvature. Assume thatsatisfies. If for such a,andwhereis the tension field of, then we show thatis harmonic. For a biharmonic submanifold, we obtain that the above assumptionis not necessary. These results give affirmative partial answers to the global version of generalized Chen’s conjecture.