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Yingbo Han (Xinyang Normal  Technology)
2024-10-28  16:00 - 17:00
Room 201, Astronomy and Mathematics Building

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 M of bounded nonnegative transversal bisectional curvature with maximal volume growth is CR biholomorphic to Ω × ℝ, where Ω is a pseudoconvex domain of the n-dimensional complex space.