@Article{JMS-55-3,
author = {Mijia, Lai and Zhou, Huihuang},
title = {A Note on Obata Equations on Manifolds with Boundary},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {3},
pages = {242--253},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n3.22.02},
url = {https://global-sci.com/article/87653/a-note-on-obata-equations-on-manifolds-with-boundary}
}