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An Extension of the Affine Bernstein Problem

✍ Scribed by Juan A. Aledo; Antonio Martínez; Francisco Milán

Publisher
Springer
Year
2011
Tongue
English
Weight
363 KB
Volume
60
Category
Article
ISSN
1422-6383

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📜 SIMILAR VOLUMES

On the affine Bernstein problem
On the affine Bernstein problem
✍ A. Martínez; F. Milán 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 267 KB

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.

Formulae relating the Bernstein and Iwah
Formulae relating the Bernstein and Iwahori–Matsumoto presentations of an affine Hecke algebra
✍ Thomas J. Haines; Alexandra Pettet 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 193 KB

We consider the "anti-dominant" variants Θ - λ of the elements Θ λ occurring in the Bernstein presentation of an affine Hecke algebra H. We find explicit formulae for Θ - λ in terms of the Iwahori-Matsumoto generators T w (w ranging over the extended affine Weyl group of the root system R), in the c