๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Hypersurfaces in symplectic affine geometry

โœ Scribed by Vincent Deconchy

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
117 KB
Volume
17
Category
Article
ISSN
0926-2245

No coin nor oath required. For personal study only.

โœฆ Synopsis

We study properties of hypersurfaces of the standard symplectic space (R 2n , ฯ‰), which are invariant under affine symplectic transformations. In this framework, we describe the invariants of hypersurfaces and discuss the existence of an isoperimetric inequality. ๏›™ 2002 Published by Elsevier Science B.V.

๐Ÿ“œ SIMILAR VOLUMES

Embeddings of Hypersurfaces in Affine Sp
Embeddings of Hypersurfaces in Affine Spaces
โœ Vladimir Shpilrain; Jie-Tai Yu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 101 KB

In this paper, we address the following two general problems: given two algebraic n ลฝ . ลฝ . varieties in C , find out whether or not they are 1 isomorphic and 2 equivalent under an automorphism of C n . Although a complete solution of either of those problems is out of the question at this time, we

Nonlinearities in affine geometry
Nonlinearities in affine geometry
โœ M. Antonowicz ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 54 KB
On special submanifolds in symplectic ge
On special submanifolds in symplectic geometry
โœ Eleonora Ciriza ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 635 KB

We study the symplectic geometry of submanifolds of a manifold P equipped with a Kihler metric of non-positive curvature. We show that totally geodesic complex or isotropic submanifolds of P are standard.