关于有边界流形上Obata方程的一个注记

IF 0.8 4区数学 数学研究 Pub Date : 2022-06-01 DOI:10.4208/jms.v55n3.22.02

Mijia Lai null, Hui Zhou

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引用次数: 0

摘要

．我们分析了在不同边界条件下Obata型方程∇2f−f g = 0和∇2f = g有边界的完全流形。在给定内临界点存在的情况下，这种流形分别是双曲空间和欧几里德空间中的域。

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A Note on Obata Equations on Manifolds with Boundary

. We analyze complete manifolds with boundary which admit solutions to Obata type equations ∇ 2 f − f g = 0 and ∇ 2 f = g under various boundary conditions. Given the existence of interior critical points, such manifolds are domains in the hyperbolic space and the Euclidean space respectively.

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数学研究 MATHEMATICS-

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1109

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