科学研究
报告题目:

The uniformization conjecture in complete non-compact Sasakian manifolds

报告人:

韩英波 教授(信阳师范大学)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

The CR analogue of Yau uniformization conjecture states that any complete noncompact Sasakian manifold of positive CR holomorphic bisectional curvature is CR biholomorphic to the standard Heisenberg group. In this talk, we affirm the partial result of the above conjecture on Sasakian manifolds by using Sasaki-Ricci flow. More precisely, we show that a complete noncompact Sasakian manifold

of nonnegative and bounded transversal bisectional curature with maximal volume growth is CR biholomorphic to

, where

is a pseudoconvex domain of

.