极小子流形上的调和函数
Harmonic functions on complete minimal submanifolds
本文中，我们考虑欧氏空间中极小子流形上的调和函数。在一些条件下，我们证明其上有界调和函数空间的维数必等于子流形端的个数。
In this paper, we consider bounded harmonic functions on complete minimal submanifold Mn in RN. When n≥3 and under some conditions, in particulary with finite total scalar curvature, we obtain that the dimension of the space of bounded harmonic functions is equivalent to the number of ends on Mn.
张希
数学
调和函数端极小子流形
harmonic functionendminimal submanifold
张希.极小子流形上的调和函数[EB/OL].(2009-12-28)[2025-08-10].http://www.paper.edu.cn/releasepaper/content/200912-1030.点此复制
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