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- Title
Locally convex surfaces immersed in a Killing submersion.
- Authors
Espinar, José; Oliveira, Inês
- Abstract
We generalize Hadamard-Stoker-Currier Theorems for surfaces immersed in a Killing submersion over a strictly Hadamard surface whose fibers are the trajectories of a unit Killing field. We prove that every complete surface whose principal curvatures are greater than a certain function (depending on the ambient manifold) at each point, must be properly embedded, homeomorphic either to the sphere or to the plane and, in the latter case, we study the behavior of the end.
- Subjects
CONVEX surfaces; SUBMERSIONS (Mathematics); HADAMARD matrices; HOMEOMORPHISMS; CURVATURE measurements
- Publication
Bulletin of the Brazilian Mathematical Society, 2013, Vol 44, Issue 1, p155
- ISSN
1678-7544
- Publication type
Article
- DOI
10.1007/s00574-013-0007-9