On affine translation surfaces in affine space
نویسندگان
چکیده
منابع مشابه
Parallel surfaces in affine 4 - space
We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in R 4 which are degenerate and have vanishing cubic form (i.e. parallel second fundamental form). This completes the classification of parallel surfaces of which the first results were obtained in the beginning of this century by Blaschke and his collaborators.
متن کاملAffine and degenerate affine BMW algebras: Actions on tensor space
The affine and degenerate affine Birman-Murakami-Wenzl (BMW) algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic quantum groups and Lie algebras, respectively. Cyclotomic BMW algebras, affine and cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper we explain how the affine and degenerate affine BMW algebras are tantalizer...
متن کاملAffine like Surfaces
If X is a variety, then X is affine if and only if H(X,F) = 0 for all coherent sheaves F and for all positive i. This paper deals with the following natural question: Question: Classify all smooth varieties X (over C) with H(X,ΩjX) = 0 for all j and for all positive i. Of course if dimX = 1 such an X is affine. Here we deal with the case of surfaces and completely classify them. This question w...
متن کاملAffine Mappings of Translation Surfaces: Geometry and Arithmetic
1. Introduction. Translation surfaces naturally arise in the study of billiards in rational polygons (see [ZKa]). To any such polygon P , there corresponds a unique translation surface, S = S(P), such that the billiard flow in P is equivalent to the geodesic flow on S (see, e.g., [Gu2], [Gu3]). There is also a classical relation between translation surfaces and quadratic differentials on a Riem...
متن کاملDiscrete Affine Surfaces based on Quadrangular Meshes
In this paper we are interested in defining affine structures on discrete quadrangular surfaces of the affine three-space. We introduce, in a constructive way, two classes of such surfaces, called respectively indefinite and definite surfaces. The underlying meshes for indefinite surfaces are asymptotic nets satisfying a non-degeneracy condition, while the underlying meshes for definite surface...
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: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.03.066