A Note on Obata Equations on Manifolds with Boundary
Cited by
Export citation
- BibTex
- RIS
- TXT
@Article{JMS-55-242,
author = {Lai , Mijia 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 = {
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v55n3.22.02}, url = {http://global-sci.org/intro/article_detail/jms/20974.html} }
TY - JOUR
T1 - A Note on Obata Equations on Manifolds with Boundary
AU - Lai , Mijia
AU - Zhou , Huihuang
JO - Journal of Mathematical Study
VL - 3
SP - 242
EP - 253
PY - 2022
DA - 2022/09
SN - 55
DO - http://doi.org/10.4208/jms.v55n3.22.02
UR - https://global-sci.org/intro/article_detail/jms/20974.html
KW - Obata type equation, manifolds with boundary, Dupin hypersurfaces.
AB -
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.
Lai , Mijia and Zhou , Huihuang. (2022). A Note on Obata Equations on Manifolds with Boundary.
Journal of Mathematical Study. 55 (3).
242-253.
doi:10.4208/jms.v55n3.22.02
Copy to clipboard