Loading…
Nonrigidity of a class of two dimensional surfaces with positive curvature and planar points
Existence of nontrivial infinitesimal bendings is established for an orientable surface with boundary S\subset \mathbb{R}^3. As an application, we show that any neighborhood of such a surface S topology) contains isometric surfaces that are noncongruent.
Saved in:
| Published in: | Proceedings of the American Mathematical Society 2013-06, Vol.141 (6), p.2137-2143 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Citations: | Items that this one cites Items that cite this one |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Existence of nontrivial infinitesimal bendings is established for an orientable surface with boundary S\subset \mathbb{R}^3. As an application, we show that any neighborhood of such a surface S topology) contains isometric surfaces that are noncongruent. |
|---|---|
| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/S0002-9939-2013-11488-7 |