Spectral properties and conformal type of surfaces
Fuente:
Redalyc
Saved in:
| Main Author: | |
|---|---|
| Format: | Artículo científico |
| Language: | en |
| Published: |
Academia Brasileira de Ciências
2002
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1876423933003038720 |
|---|---|
| author | Philippe Castillon |
| author_facet | Philippe Castillon |
| contents | Spectral properties and conformal type of surfaces Philippe Castillon Multidisciplinaria (Ciencias Naturales y Exactas) spectral theory minimal surfaces stability operator In this short note, we announce a result relating the geometry of a riemannian surface to thepositivity of some operators on this surface (the operators considered here are of the form surfaceLaplacian plus a scalar multiple of the curvature function). In particular we obtain a theorem àla Huber: under a spectral hypothesis we prove that the surface is conformally equivalent to aRiemann surface with a finite number of points removed.This problem has its origin in the study of stable minimal surfaces. 2002 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32774403 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.74 |
| format | Artículo científico |
| id | redalyc_32774403 |
| institution | Redalyc |
| language | en |
| publishDate | 2002 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Spectral properties and conformal type of surfaces Philippe Castillon Multidisciplinaria (Ciencias Naturales y Exactas) spectral theory minimal surfaces stability operator Spectral properties and conformal type of surfaces Philippe Castillon Multidisciplinaria (Ciencias Naturales y Exactas) spectral theory minimal surfaces stability operator In this short note, we announce a result relating the geometry of a riemannian surface to thepositivity of some operators on this surface (the operators considered here are of the form surfaceLaplacian plus a scalar multiple of the curvature function). In particular we obtain a theorem àla Huber: under a spectral hypothesis we prove that the surface is conformally equivalent to aRiemann surface with a finite number of points removed.This problem has its origin in the study of stable minimal surfaces. 2002 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32774403 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.74 |
| title | Spectral properties and conformal type of surfaces |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) spectral theory minimal surfaces stability operator |
| url | https://www.redalyc.org/articulo.oa?id=32774403 |