Year: 2022
Author: Mijia Lai, Huihuang Zhou
Journal of Mathematical Study, Vol. 55 (2022), Iss. 3 : pp. 242–253
Abstract
We analyze complete manifolds with boundary which admit solutions to Obata type equations $\nabla^2 f- fg=0$ and $\nabla^2 f=g$ 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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v55n3.22.02
Journal of Mathematical Study, Vol. 55 (2022), Iss. 3 : pp. 242–253
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Obata type equation manifolds with boundary Dupin hypersurfaces.