| 双warped积流形之间2-调和的积映射 |
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| 引用本文： | 韩英波.双warped积流形之间2-调和的积映射[J].东南大学学报,2010,26(3):502-504. |
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| 作者姓名： | 韩英波 |
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| 作者单位： | 东南大学数学系,南京,211189;信阳师范学院数学与信息科学学院,信阳,464000 |
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| 基金项目： | The National Natural Science Foundation of China(No.10971029) |
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| 摘 要： | 讨论了积映射Φ2=φ×ψ和2个广义的投影φ和ψ的2-调和性,得到了几个主要结论：Φ2=φ×ψ是恰当2-调和映射的充分必要条件是函数b,f分别为方程-1/f2 Jφ（dφ（grad（lnb）））＋n/2grad dφ（grad（lnb））2=0,-1/b2Jψ（dψ（grad（lnf）））＋m/2grad dψ（lnf）=0的非常值解;Φ2=φ×ψ是恰当2-调和映射的充分必要条件是φ和ψ都是恰当2-调和映射.
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| 关 键 词： | 2-调和映射 积映射 双warped积流形 |
Biharmonic product maps between doubly warped product manifolds |
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| Han Yingbo.Biharmonic product maps between doubly warped product manifolds[J].Journal of Southeast University(English Edition),2010,26(3):502-504. |
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| Authors: | Han Yingbo |
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| Institution: | Han Yingbo(Department of Mathematics,Southeast University,Nanjing 211189,China)(College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China) |
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| Abstract: | The biharmonicity of the product map Φ2=φ×ψ and the two generalized projections φ-and ψ-are analyzed. Some results are obtained, that is, Φ2 is a proper biharmonic map if and only if b is a non-constant solution of -1/f2 Jφ（dφ（grad（lnb）））＋n/2 grad｜dφ（grad（lnb））｜2=0 and f is a non-constant solution of -1/b2Jψ（dψ（grad（lnf）））＋m/2grad｜dψ（grad（lnf））｜2=0, and Φ2=φ×ψ is a proper biharmonic map if and only if φ-and ψ-are proper biharmonic maps. |
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| Keywords: | biharmonic map product map doubly warped product manifolds |
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