Biharmonic maps into a Riemannian manifold of non-positive curvature
Biharmonic maps into a Riemannian manifold of non-positive curvature
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DOI：
10.1007/s10711-013-9854-1
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发表时间：
2012-01
影响因子：
0.5
通讯作者：
Nobumitsu Nakauchi;H. Urakawa;Sigmundur Gudmundsson
中科院分区：
文献类型：
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作者：
Nobumitsu Nakauchi;H. Urakawa;Sigmundur Gudmundsson
我们研究有限能量黎曼流形和有限双能量之间的双调和映射。我们证明，如果域是完整的并且目标是非正曲率，那么这样的映射是调和的。然后我们应用等距浸没和水平等角浸没。
We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We show that if the domain is complete and the target of non-positive curvature, then such a map is harmonic. We then give applications to isometric immersions and horizontally conformal submersions.