Stable minimal surfaces
نویسندگان
چکیده
منابع مشابه
Stable Minimal Surfaces
Let M<=R be a minimal surface. A domain Z><= M is an open connected set with compact closure D and such that its boundary dD is a finite union of piecewise smooth curves. We say that D is stable if D is a minimum for the area function of the induced metric, for all variations of D which keep dD fixed. In this note we announce the following estimate of the "size" of a stable minimal surface. We ...
متن کاملDigital cohomology groups of certain minimal surfaces
In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...
متن کاملHigher Genus Minimal Surfaces in S and Stable Bundles
We show that a compact oriented minimal surface in S of genus g ≥ 2 gives rise to a stable pair. We prove that the associated family of connections has non-abelian holonomy representation. We compute the spinor bundle of the Lawson genus 2 surface and prove that the associated holomorphic bundle is stable. We fully determine this bundle.
متن کاملStable Complete Minimal Surfaces in R Are Planes
A proof of the statement in the title is given.
متن کاملMinimal Surfaces
This summer, I worked with Professor Ailana Fraser and studied free boundary minimal surfaces immersed in the unit ball. These surfaces have zero mean curvature everywhere and meet the ball orthogonally. Let such a surface be denoted Σ. Consider the set of conformal transformations of the unit ball, and let any surface obtained by these transformations be denoted γ(Σ). The questions that we con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1974
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1974-13508-1