學術演講
主講者: | 吳進通教授 (屏東教育大學) |
講題: | The Diameter Estimate and Its Application to CR Obata's Theorem |
時間: | 2010-03-11 (Thu.) 15:00 - 16:00 |
地點: | 數學所 722 研討室 (台大院區) |
Abstract: | In this talk, we will show that we can obtain a sharp lower bound estimate for diameter with respect to an adapted metric in closed pseudohermitian (2n+1)-manifolds when a sharp lower bound estimate for the first positive eigenvalue of the sublaplacian is achieved. As a consequence, we confirm the CR Obata Conjecture on a closed pseudohermitian (2n+1)-manifold with an extra condition on covariant derivatives of torsion. This work is joined with Prof. Shu-Cheng Chang. |
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