Extremal subspaces and their submanifolds
| dc.creator | Kleinbock, Dmitry | |
| dc.date | 2002-10-23 | |
| dc.date | 2003-04-03 | |
| dc.date.accessioned | 2026-07-07T04:52:17Z | |
| dc.date.available | 2026-07-07T04:52:17Z | |
| dc.description | It is known that the properties of almost all points of R^n being not very well (multiplicatively) approximable are inherited by nondegenerate in R^n (read: not contained in a proper affine subspace) smooth submanifolds. In this paper we consider submanifolds which are contained in proper affine subspaces, and prove that the aforementioned diophantine properties pass from a subspace to its nondegenerate submanifold. The proofs are based on a correspondence between multidimensional diophantine approximation and dynamics of lattices in Euclidean spaces. | |
| dc.description | 26 pages. To appear in Geom. Funct. Anal. Several misprints corrected | |
| dc.identifier | https://arxiv.org/abs/math/0210367 | |
| dc.identifier | http://arxiv.org/abs/math/0210367 | |
| dc.identifier | GAFA 13 (2003), 437-466 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65411 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 11J83 | |
| dc.title | Extremal subspaces and their submanifolds | |
| dc.type | text |