Rigidity of integral coisotropic submanifolds of contact manifolds

Autor:	Tortorella, Alfonso Giuseppe
Rok vydání:	2016
Předmět:	Mathematics - Differential Geometry Mathematics - Symplectic Geometry 53D10 (Primary) 53D35 53D17
Zdroj:	Lett. Math. Phys. (2018) 108: 883--896
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-017-1005-4
Popis:	Unlike Legendrian submanifolds, the deformation problem of coisotropic submanifolds can be obstructed. Starting from this observation, we single out in the contact setting the special class of integral coisotropic submanifolds as the direct generalization of Legendrian submanifolds for what concerns deformation and moduli theory. Indeed, being integral coisotropic is proved to be a rigid condition, and moreover the integral coisotropic deformation problem is unobstructed with discrete moduli space. Comment: v3: 12 pages, published in Lett. Math. Phys., comments still welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.00411 Zobrazit plný text záznamu View this record from Arxiv