On the affine Bernstein problem
✍ Scribed by A. Martínez; F. Milán
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 267 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
✦ Synopsis
A partial solution to the affine Bernstein problem is given. The elliptic paraboloid is characterized as a locally strongly convex, affine complete, affine-maximal surface in A 3, satisfying a certain growth condition, about its afline Gauss-Kronecker curvature.
📜 SIMILAR VOLUMES
The solution of the Bernstein problem in the regular and exceptional cases, in all dimensions n, was made by Yu. Lyubich. A. Grishkov proved that there are no Ž . nonregular nonexceptional nuclear Bernstein algebras of type 4, 2 with stochastic Ž . realization and therefore the Bernstein problem of
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