Journal Article10.2307/1970556
Minimal Varieties in Riemannian Manifolds
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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.
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Citations
Weighted minimal translation surfaces in Minkowski 3-space with density
TL;DR: In this paper, the authors studied translation surfaces in a Minkowski 3-space ℝ13 with density, and they classified all translation surfaces with zero weighted mean curvature in ℓ 13 with density ez by solving the second-order nonlinear ODE with some smooth functions.
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Curvature estimates for surfaces with bounded mean curvature
TL;DR: In this article, it was shown that for an embedded geodesic disk with bounded L 2 norm of |A|, the surface is bounded at interior points, provided that the W 1,p norm of its mean curvature is sufficiently small, p > 2.
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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.