|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Mean curvature flow
in a Riemannian manifold endowed with a Killing vector
field
Liangjun Weng |
|
Vol. 308 (2020), No. 2, 435–472
|
Abstract |
|
We consider the Killing graphs over a bounded regular domain in an integral distribution orthogonal to a Killing vector field with prescribed variable contact angle. Under some appropriate condition between the geometry of the domain and the contact angle, based on the maximum principle and the approximation method, we show that the solutions to the mean curvature flow of Killing graphs with capillarity type boundary condition converge to a translating solution. |
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.89
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
Killing vector field, warped product manifold, mean
curvature flow, uniform gradient estimate, variable contact
angle
|
Mathematical Subject Classification 2010
Primary: 53C44
Secondary: 35J66
|
Milestones
Received: 14 June 2019
Revised: 12 December 2019
Accepted: 25 July 2020
Published: 9 December 2020
|
Authors |
| Liangjun Weng | |
| School of Mathematical
Sciences Shanghai Jiao Tong University Shanghai China |
|
