SeminarsGeometry of surfaces on the Heisenberg group from the point of view of analysis
169
reads
The Heisenberg group is a prototype of Sub-Riemannian manifold. Starting from no more than the knowledge and techniques from multivariable calculus (and perhaps linear algebra), we introduce basic geometric concepts such as the h(horizontal)-perimeter, h-mean-curvature and the corresponding h-minimal surfaces. Certain basic tools that are used recently on workers in the field such as the first variation of the h-perimeter, integration by parts formula on surfaces will be introduced.
reads
Duy-Minh Nhieu
2009-10-08
14:00:00 - 15:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
The Heisenberg group is a prototype of Sub-Riemannian manifold. Starting from no more than the knowledge and techniques from multivariable calculus (and perhaps linear algebra), we introduce basic geometric concepts such as the h(horizontal)-perimeter, h-mean-curvature and the corresponding h-minimal surfaces. Certain basic tools that are used recently on workers in the field such as the first variation of the h-perimeter, integration by parts formula on surfaces will be introduced.