Juan A. Aledo, Jose M. Espinar, Jose A. Galvez
Published 2005-10-15Version 1
We study isometric immersions of surfaces of constant curvature into the homogeneous spaces H2xR and S2xR. In particular, we prove that there exists a unique isometric immersion from the standard 2-sphere of constant curvature c>0 into H2xR and a unique one into S2xR when c>1, up to isometries of the ambient space. Moreover, we show that the hyperbolic plane of constant curvature c<-1 cannot be isometrically immersed into H2xR or S2xR.
The Gauss-Bonnet-Grotemeyer Theorem in spaces of constant curvature
On the existence of closed $C^{1,1}$ curves of constant curvature
Willmore Flow of Complete Surfaces
![QR code for arXiv:math/0510321 [math.DG]](http://oss.arxitics.com/images/favicon.svg)