Detailed Information

Cited 0 time in webofscience Cited 0 time in scopus
Metadata Downloads

Free boundary constant mean curvature surfaces in a strictly convex three-manifold

Authors
Min, Sung-HongSeo, Keomkyo
Issue Date
Apr-2022
Publisher
SPRINGER
Keywords
Free boundary; Constant mean curvature; Spherical cap; Delaunay surface; Strictly convex domain; Space form
Citation
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, v.61, no.3, pp 621 - 639
Pages
19
Journal Title
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Volume
61
Number
3
Start Page
621
End Page
639
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/145852
DOI
10.1007/s10455-022-09828-2
ISSN
0232-704X
1572-9060
Abstract
Let C be a strictly convex domain in a three-dimensional Riemannian manifold with sectional curvature bounded above by a constant, and let Sigma be a constant mean curvature surface with free boundary in C. We provide a pinching condition on the length of the traceless second fundamental form on Sigma which guarantees that the surface is homeomorphic to either a disk or an annulus. Furthermore, under the same pinching condition, we prove that if C is a geodesic ball of three-dimensional space forms, then Sigma is either a spherical cap or a Delaunay surface.
Files in This Item
There are no files associated with this item.
Appears in
Collections
이과대학 > 수학과 > 1. Journal Articles

qrcode

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.

Related Researcher

Researcher Seo, Keom Kyo photo

Seo, Keom Kyo
이과대학 (수학과)
Read more

Altmetrics

Total Views & Downloads

BROWSE