Surfaces of constant curvature
Constant Mean Curvature Surfaces with Circular Boundary inR
... case of closed cmc surfaces, the structure and classification of cmc com- pact surfaces with nonempty boundary are almost unknown, also in the simplest case of circular ...sphere ...
6
Pseudo-parallel immersions in SnxR and HnxR, and constant anisotropic mean curvature surfaces in R3
... CAMC surfaces whose anisotropic mean curvature is bounded by a prefixed positive number and whose Gauss map omits a disk of prefixed ...use of a Bernstein-type Theorem for anisotropic minimal ...
130
Index growth of hypersurfaces with constant mean curvature
... number of ends of the surface. There are many known surfaces to which this theorem (or Theorem ...cmc-1 surfaces with asympotically Delaunay ends have been constructed by ...
13
Lines of Principal Curvature on Canal Surfaces inR
... complexity of principal curvature in simple smooth surfaces was illus- trated in (Gutierrez and Sotomayor 1991, ...examples of recurrent (dense) principal curvature lines on spheroidal ...
11
Singular surfaces of revolution with prescribed unbounded mean curvature
... boundedness of the mean ...boundedness of the mean curvature for the case of cuspidal ...surface of revolution M with a generating curve γ(t) = (x(t), y(t)) such ...
10
Embedded positive constant r-mean curvature hypersurfaces in M
... sectional curvature bounded from ...positive constant r-mean curvature. We obtain height estimates of certain compact vertical graphs in M × R with boundary in M × ...existence of some ...
17
Isometric deformation of surfaces in R 3 preserving the mean curvature function
... constant para-holomorphic sectional curvature . . . . . . . . . . . . . . . . . . . . . . . . . 85 Guangxin Zeng, Homogeneous Stellensätze in semialgebraic geometry . . . . . 103 Thomas Eric Hall, The ...
13
Graphs with constant mean curvature in the 3–hyperbolic space
... type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar ...types of graphs that could be ...
7
Spacelike hypersurfaces with constant mean curvature in the steady state space
... height of compact space- like surfaces Σ 2 immersed into the 3-dimensional Lorentz-Minkowski space L 3 with constant mean curvature ...case of constant higher order mean ...
16
Lines of principal curvature near singular end points of surfaces in R3
... study of end points, see also [16], where Gutierrez and Sotomayor studied the behavior of principal nets on constant mean curvature surfaces, with special analysis of their ...
26
On the index of constant mean curvature 1 surfaces in hyperbolic space
... purpose of this paper is to extend this circle of ideas to constant mean curvature 1 surfaces in H 3 ...has constant mean curvature 1 and finite total curvature, ...
31
Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
... CMC-1 surfaces starting with an arbitrary holo- morphic map f via Theorem ...surface of centers S and the radius function R, then we calculate, by means of (2), the envelopes of this ...
6
Foliation of 3dimensional space forms by surfaces with constant mean curvature
... FOLIATION OF3-DIMENSIONAL SPACE FORMS BY SURFACES WITH CONSTANT MEAN CURVATURE.. J.L.M..[r] ...
12
Stability of constant mean curvature surfaces in riemannian 3space form
... do Carmo: Stability of minimal surfaces in 3-dimensional hyperbolic space,. Arch.[r] ...
7
A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space
... hypersurface of the kind studied here and such that the corresponding point ( ¯ R, sup H 2 ) lies above the bisector ray and below the curve, thus yielding a gap (see Section ...image of the function G n → ...
14
Spacelike hypersurfaces with positive constant rmean curvature in Lorentzian product spaces
... class of space–times, see for example ...existence of complete space-like hypersurfaces properly immersed with positive constant r -mean curvature into a spatially closed Lorentzian product ...
17
Structurally stable configurations of lines of mean curvature and umbilc points on surfaces immersed in R3
... mean curvature separatrix structures at umbilic points, analogous to the Darbouxian principal cur- vature configurations [GS2], has been ...sort of functor, which enables to establish a result in one setting ...
36
Submanifolds of constant sectional curvature in pseudoRiemannian manifolds
... In this paper, we provide this interpretation in terms of Riemannian submanifolds of constant sectional curvature and we show that a submanifold which corresponds to [r] ...
21
Lines of axial curvature at critical points on surfaces mapped into R4
... normal curvature geometric singular- ities and their associated axial foliations reach the simplest critical points, at which the rank of a mapping of a surface into R 4 depending on one parameter ...
24