Geometry of manifolds in the euclidian space and in the Minkowski space
Spherical and Hyperbolic Geometries with applications to differential geometry
Laser surface treatment of metallic materials for advanced applications
| Full text | |
| Author(s): |
de Carvalho, Andre
;
Hall, Toby
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY; v. 108, p. 34-pg., 2014-03-01. |
| Abstract | |
Let S be a surface obtained from a plane polygon by identifying infinitely many pairs of segments along its boundary. A condition is given under which the complex structure in the interior of the polygon extends uniquely across the quotient of its boundary to make S into a closed Riemann surface. When this condition holds, a modulus of continuity is obtained for a uniformizing map on S. (AU) | |
| FAPESP's process: | 06/03829-2 - Dynamic in low dimensions |
| Grantee: | André Salles de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |