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STABILITY OF HARMONIC MAPS FROM A RIE-MANNIAN MANIFOLD WITH BOUNDARY

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【Author】 SHEN YIBING (Hangzhou University)PAN YANGLIAN (Fudan University, Shanghai)

【机构】 Hangzhou University； Fudan University； Shanghai；

【摘要】 <正> Ⅰ. INTRODUCTION A harmonic map is just a critical point of the energy functional and if a harmonic map has nonnegative second variation of the energy functional, it is called a stable harmonic map. It is well known that if the target manifold has nonpositive sectional curvature, then any harmonic map is stable.It is a natural and interesting problem to find various conditions which guarantee the stability of a更多还原

【关键词】 harmonic； nonnegative； manifold； guarantee； Riemannian； curvature； inequality； sectional； immersion； measurable；

【基金】 Project supported by the Science Fund of Academia Sinica

【文献出处】 Science Bulletin ,科学通报(英文版) , 编辑部邮箱 ,1986年08期

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