Published May 2021
| Submitted
Journal Article
Open
Superconvexity of the heat kernel on hyperbolic space with applications to mean curvature flow
- Creators
- Zhang, Yongzhe
Abstract
We prove a conjecture of Bernstein that the heat kernel on hyperbolic space of any dimension is supercovex in a suitable coordinate and, hence, there is an analog of Huisken's monotonicity formula for mean curvature flow in hyperbolic space of all dimensions.
Additional Information
© 2021 American Mathematical Society. The author was partially supported by the NSF grants DMS-2018220 and DMS-2018221. The author would like to thank Professor Lu Wang for suggesting this question and her continuous guidance. Also, the author is grateful to the anonymous referees for their useful comments.Attached Files
Submitted - 2008.11240.pdf
Files
2008.11240.pdf
Files
(119.5 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:88b2e20f2f23c513085647afd520c5db
|
119.5 kB | Preview Download |
Additional details
- Alternative title
- Superconvexity of the Heat Kernel on Hyperbolic Space
- Eprint ID
- 108997
- DOI
- 10.1090/proc/15379
- Resolver ID
- CaltechAUTHORS:20210506-153612783
- DMS-2018220
- NSF
- DMS-2018221
- NSF
- Created
-
2021-05-06Created from EPrint's datestamp field
- Updated
-
2021-05-06Created from EPrint's last_modified field