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

Sánchez, Ayla Paloma.

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

Tufts University. Department of Mathematics.
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ID: tufts:22453
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