- Minimal Surfaces of Revolution in H3 and Their Global Stability🔍
- stability of catenoids and helicoids in hyperbolic space🔍
- STABLE COMPLETE CONSTANT MEAN CURVATURE SURFACES ...🔍
- Catenaries and minimal surfaces of revolution in hyperbolic space🔍
- Catenaries and minimal surfaces of revolution in ...🔍
- On surfaces of right helicoid type in H 3🔍
- New minimal surfaces in the hyperbolic space🔍
- MORSE|TYPE INDICES OF TWO|DIMENSIONAL MINIMAL ...🔍
Minimal Surfaces of Revolution in H3 and Their Global Stability
Minimal Surfaces of Revolution in H3 and Their Global Stability - jstor
In Section 4, we show that some of the minimal surfaces of revolution in H3 obtained in Section 3 are globally stable. 2. Preliminaries. In the vector space R"+ ...
stability of catenoids and helicoids in hyperbolic space
whether the globally stable spherical catenoids are least area minimal surfaces ... A. A. Tuzhilin, Global properties of minimal surfaces in R3 and H3 and their ...
STABLE COMPLETE CONSTANT MEAN CURVATURE SURFACES ...
Stability of rotation surfaces in H3. In ... York, 1963, 1969. 12. H. Mori, Minimal surfaces of revolution in H3 and their global stability, Indiana Univ.
Catenaries and minimal surfaces of revolution in hyperbolic space
Theorem 9 The generating curves of minimal surfaces of revolution in H3(r) ... [5] Mori, H.: Minimal surfaces of revolution in H3 and their global stability.
Catenaries and minimal surfaces of revolution in ... - ResearchGate
hyperbolic space H3(r), there exist three types of surfaces of revolution. ... [4] Mori, H.: Minimal surfaces of revolution in H3 and their global stability.
On surfaces of right helicoid type in H 3 - SpringerLink
H. Mori;Minimal surfaces of revolution in H 3 and their global stability, Indiana Univ. Math. J., 30 (1981), 787 ...
New minimal surfaces in the hyperbolic space
... minimal surfaces in H3, the rotational minimal surfaces of spherical type. ... Minimal surfaces of revolution in H3 and their global stability. Indiana ...
MORSE-TYPE INDICES OF TWO-DIMENSIONAL MINIMAL ...
[20] Hiroshi Mori 1981 Minimal surfaces of revolution in H 3 and their global stability Indiana Univ. Math. J. 30 787-794. Crossref · Google Scholar. [21] ...
For five weeks in the summer of 2001, the Clay Mathematics Institute organized a summer school on the Global Theory of Minimal Surfaces at the Mathematical.
They also proved that complete minimal rotation surfaces of H3 are ... proved that there exist complete minimal surfaces in H3 with the symmetry.
Stable minimal hypersurfaces in the hyperbolic space
stable minimal rotation surfaces in H3. This example shows that a ... Mori, Minimal surfaces of revolution in H3 and their global stability, Indiana Univ.
A survey on classical minimal surface theory
rise to minimal laminations of H3 and H2 ×R consisting of two stable, ... role in the global theory of minimal surfaces, partly because there are fairly.
SURFACES MINIMALES - Princeton Math
Scherk's surface is a doubly periodic minimal surface. It is important to classify and understand these minimal surfaces in R3. In this direction there is the ...
On Minimal Surfaces of Rotations Immersed in ... - ResearchGate
faces of rotation in H3 and their global stability [15]. do Carmo classified all the complete regular minimal surfaces of rotation in H3 [11]. The investiga ...
The geometry of stable minimal surfaces in metric Lie groups
There is an application of Theorem 1.1 of special interest. In our paper [19] we give a classification of the constant mean curvature spheres ...
arXiv:0904.3988v3 [math.DG] 25 Feb 2010
singular sets. There is a well-known classical Weierstrass representation for minimal surfaces ... surfaces of revolution. In the H3 case ...
The classical theory of minimal surfaces - Universidad de Granada
manifold N there exists a universal constant c > 0 such that for any stable, minimally ... global embeddedness, since there exist properly ...
In light of his findings, Willmore conjectured that this torus of revolution ... There are infinitely many known compact minimal surfaces in S3. For in ...
Stable minimal surfaces and positive scalar curvature lecture notes ...
Theorem 2.1 (Simons [Sim68]). If (Mn+1,g) has Ric > 0 then there are no closed stable two-sided minimal hypersurfaces. If Ric ≥ 0 ...
The Inverse Mean Curvature Flow: Singularities, Dynamical Stability ...
If not, there would exist a complete minimal surface of revolution in R3 which is not a catenoid. In this context, since convergence to ew(x) is also ...