Colloquium / Seminars
Topic:Generalizations of the theorems of Pappus-Guldin in the Heisenberg groups
Speaker:Prof. Yen-Chang Huang
( Dept. of Applied Mathematics, National University of Tainan)Date time:May 24, 2022, 14:00 - 15:00
Venue:
Abstract:
Abstract
In this talk, we will present the recent results about areas (called p-areas) and volumes for parametric surfaces in the 3D-Heisenberg group, which is considered as a flat model of pseudo-hermitian manifolds. We derive the formulas of p-areas and volumes for parametric surfaces and show that the classical result of Pappus-Guldin theorems for surface areas and volumes hold if the surfaces satisfy some geometric properties. Some examples are also provided, including the surfaces with constant p-mean curvatures.
Download:Talk_1110524.pdf
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