Bernstein Theorem
Mostrando 1-4 de 4 artigos, teses e dissertações.
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1. Teorema de Bernstein
In this dissertation. We give three different proofs of the Bernstein theorem and a proof of the theorem of do Carmo-Peng and Fischer Colbrie-Schoen.
Publicado em: 2007
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2. On a Bernstein theorem and some generalizations / Sobre um teorema de Bernstein e algumas generalizações
The Bernstein s theorem is an important landmark in the theory of the minimal surfaces. In this dissertation we will present three demonstrations of this theorem, each one leading to generalizations in different directions
Publicado em: 2006
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3. Kostant polynomials and the cohomology ring for G/B
The Schubert calculus for G/B can be completely determined by a certain matrix related to the Kostant polynomials introduced in section 5 of Bernstein, Gelfand, and Gelfand [Bernstein, I., Gelfand, I. & Gelfand, S. (1973) Russ. Math. Surv. 28, 1–26]. The polynomials are defined by vanishing properties on the orbit of a regular point under the action o
The National Academy of Sciences of the USA.
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4. The boundary value problem for maximal hypersurfaces
A spacelike hypersurface (condimension 1) in a Lorentzian manifold is called a maximal surface if it extremizes the hypervolume functional. Although maximal surfaces are superficially analogous to minimal hypersurfaces in Riemannian geometry, their properties can be dramatically different, as can be seen from the validity of Bernstein's theorem in all dimens