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  1. Bulletin of the Brazilian Mathematical Society
  2. Bulletin of the Brazilian Mathematical Society : Volume 44
  3. Bulletin of the Brazilian Mathematical Society : Volume 44, Issue 1, March 2013
  4. Locally convex surfaces immersed in a Killing submersion
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Bulletin of the Brazilian Mathematical Society : Volume 48
Bulletin of the Brazilian Mathematical Society : Volume 47
Bulletin of the Brazilian Mathematical Society : Volume 46
Bulletin of the Brazilian Mathematical Society : Volume 45
Bulletin of the Brazilian Mathematical Society : Volume 44
Bulletin of the Brazilian Mathematical Society : Volume 44, Issue 4, December 2013
Bulletin of the Brazilian Mathematical Society : Volume 44, Issue 3, September 2013
Bulletin of the Brazilian Mathematical Society : Volume 44, Issue 2, June 2013
Bulletin of the Brazilian Mathematical Society : Volume 44, Issue 1, March 2013
Integrable deformation of critical surfaces in spaceforms
Superminimal surfaces in the 6-sphere
On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space
Non-uniform hyperbolicity and existence of absolutely continuous invariant measures
On bi-Lyapunov stable homoclinic classes
Construction et classification de certaines solutions algébriques des systèmes de Garnier
Locally convex surfaces immersed in a Killing submersion
Bulletin of the Brazilian Mathematical Society : Volume 43
Bulletin of the Brazilian Mathematical Society : Volume 42
Bulletin of the Brazilian Mathematical Society : Volume 41
Bulletin of the Brazilian Mathematical Society : Volume 40
Bulletin of the Brazilian Mathematical Society : Volume 39
Bulletin of the Brazilian Mathematical Society : Volume 38
Bulletin of the Brazilian Mathematical Society : Volume 37
Bulletin of the Brazilian Mathematical Society : Volume 36
Bulletin of the Brazilian Mathematical Society : Volume 35
Bulletin of the Brazilian Mathematical Society : Volume 34
Bulletin of the Brazilian Mathematical Society : Volume 33
Bulletin of the Brazilian Mathematical Society : Volume 32
Bulletin of the Brazilian Mathematical Society : Volume 31
Bulletin of the Brazilian Mathematical Society : Volume 30
Bulletin of the Brazilian Mathematical Society : Volume 29
Bulletin of the Brazilian Mathematical Society : Volume 28

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Locally convex surfaces immersed in a Killing submersion

Content Provider SpringerLink
Author Espinar, José M. Oliveira, Inês S.
Copyright Year 2013
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.
Ending Page 171
Page Count 17
Starting Page 155
File Format PDF
ISSN 16787544
e-ISSN 16787714
Journal Bulletin of the Brazilian Mathematical Society
Issue Number 1
Volume Number 44
Language English
Publisher Springer-Verlag
Publisher Date 2013-06-25
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Immersions (minimal, prescribed curvature, tight, etc.) Theoretical, Mathematical and Computational Physics Killing submersion locally convex surfaces Rigidity results Mathematics extrinsic curvature
Content Type Text
Resource Type Article
Subject Mathematics
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