A Theory of Sub-Finsler Surface Area in the Heisenberg Group

Sánchez, Ayla Paloma.
2017

Abstract: This work is concerned with the metric properties of continuous Heisenberg group under Carnot-Caratheodory metrics. Such metrics are in general sub-Finsler, but a particular choice of CC-metric yields the sub-Riemannian case, which has long been studied by analysts and geometers alike. In the sub-Riemannian case, there is a clear definition of surface area that can be easily expressed an... read more

Subjects
Tufts University. Department of Mathematics.
Permanent URL
http://hdl.handle.net/10427/012541
ID: tufts:22453
To Cite: DCA Citation Guide