Title:Some Geometric Invariants in the Heisenberg Groups
Speaker:黃彥彰教授(台南大學應數系)
Time:2021.11.22 (Mon.) 16:00 – 17:00
Venue:第三綜合大樓2F 201
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Please wear a mask.
Tea time:15:30, Room 707
Abstract:
The n-dimensional Heisenberg group is an example in a variety of many geometric structures: Riemannian, Sub-Riemannian, Lie groups, and contact geometry. In addition, the Heisenberg group is also regarded as a standard model of pseudo-hermitian manifolds. In this talk, we will take the pseudo-hermtian approach of the group and present our recent works. Several analogous results from Integral Geometry will be shown, including the containment problems, Crofton’s formula, and Cauchy surface area formula with some applications to Image Processing. Those results may reveal a similar feature that the Heisenberg groups to pseudo-hermitian manifolds is an analogy of the Euclidean spaces to Riemannian manifolds.