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- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Mathematics, general; Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-007-0059-9
- Publisher site
- See Article on Publisher Site
Abstract
We obtain optimal height estimates for surfaces in ℍ2 × ℝ and $$ \mathbb{S}^{2} $$ × ℝ with constant Gaussian curvature K(I) and positive extrinsic curvature, characterizing the extreme cases as the revolution ones. Moreover, we get a representation for surfaces with constant Gaussian curvature in such ambient spaces, paying special attention to the cases of K(I) = 1 in $$ \mathbb{S}^{2} $$ × ℝ and K(I) = −1 in ℍ2 × ℝ.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Jan 1, 2007