Journal Article10.2307/1970556
Minimal Varieties in Riemannian Manifolds
1.7K
About: This article is published in Annals of Mathematics. The article was published on 01 Jul 1968. The article focuses on the topics: Ricci-flat manifold & Riemannian geometry.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
On Lawson's Area-minimizing Hypercones
TL;DR: The area minimality property of all homogeneous area-minimizing hypercones in Euclidean spaces has been shown in this paper, following Lawson's original idea in his 72' Trans. A.M.S.
10
•Posted Content
A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space
TL;DR: In this paper, the authors obtained a gradient estimate for the Gauss maps from complete spacelike constant mean curvature hypersurfaces in Minkowski space into the hyperbolic space.
10
•Posted Content
$\mathcal{F}$-stability for self-shrinking solutions to mean curvature flow
Ben Andrews,Haizhong Li,Yong Wei +2 more
TL;DR: In this article, the authors formulate the notion of the stability of self-shrinkers to mean curvature flow in arbitrary codimension and give some classifications of the $\mathcal{F}$-stable self shrinkers.
10
•Journal Article
Maximum principles and minimal surfaces
TL;DR: In this article, the authors show how generalized solutions apply to the study of singular and regular minimal surfaces, with particular emphasis on Dirichlet and Bernstein problems, and the problem of removable singularities.
•Posted Content
On a classification of minimal cubic cones in R n
TL;DR: In this paper, a classification of cubic minimal cones in the case of radial eigencubics was established, and it was shown that at least 12 of the 18 exceptional families are non-empty and studied their algebraic structure.
10
References
Multiple integrals in the calculus of variations
Charles B. Morrey
- 01 Jan 2008
TL;DR: In this paper, a variational method in the theory of harmonic integrals has been proposed to solve the -Neumann problem on strongly pseudo-convex manifolds and parametric Integrals two-dimensional problems.