Surfaces of rotation with constant extrinsic curvature in a conformally flat 3-space
From MaRDI portal
Publication:1758350
DOI10.1007/S00025-011-0172-3zbMath1251.53037OpenAlexW2070375916MaRDI QIDQ1758350
Marcelo Souza, Armando M. V. Corro, Romildo Pina
Publication date: 9 November 2012
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-011-0172-3
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (9)
Generalized translation hypersurfaces in conformally flat spaces ⋮ Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ Unnamed Item ⋮ Classes of Weingarten Surfaces in S^2xR ⋮ On helicoidal surfaces in a conformally flat 3-space ⋮ Helicoidal surfaces in some conformally flat pseudo-spaces of dimensional three ⋮ Helicoidal surfaces with prescribed curvatures in a conformally flat 3-space ⋮ On gradient Schouten solitons conformal to a pseudo-Euclidean space ⋮ A class of generalized special Weingarten surfaces
Cites Work
- On solutions of the Ricci curvature equation and the Einstein equation
- Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)
- Complete flat surfaces with two isolated singularities in hyperbolic 3-space
- Complete surfaces with positive extrinsic curvature in product spaces
- A theorem of Hopf and the Cauchy-Riemann inequality
- Invariant surfaces of a three-dimensional manifold with constant Gauss curvature
- Surfaces à courbure extrinsèque négative dans l'espace hyperbolique
- Exact Solutions of Einstein's Field Equations
- SURFACES WITH A SLOWLY CHANGING NEGATIVE CURVATURE
- Harmonic maps and constant mean curvature surfaces in H 2 x R
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Surfaces of rotation with constant extrinsic curvature in a conformally flat 3-space
