On the integrability of the center bundle of partially hyperbolic diffeomorphisms
主 题: On the integrability of the center bundle of partially hyperbolic diffeomorphisms
报告人: Professor Raul URES (Universidad de la Republica, Uruguay)
时 间: 2015-10-16 15:00 - 16:00
地 点: 理科一号楼 1114(数学所活动）
Partial hyperbolicity is a generalization of hyperbolicity where a new bundle with an intermediate behavior, called center bundle, is introduced. It is a classic result that the hyperbolic strong bundles integrate to unique foliations of the ambient manifold. In general this is not the case for the center bundle. We will present the known results about the integrability of this bundle mainly focusing in dimension three.