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An Introduction to the Heisenberg Group and the Sub-Riema...

Capogna, Luca / Danielli, Donatella / Pauls, Scott D. / Tyson, Jeremy T.
An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
The past decade has witnessed a dramatic and widespread expansion of interest and activity in sub-Riemannian (Carnot-Caratheodory) geometry, motivated both internally by its role as a basic model in the modern theory of analysis on metric spaces, and externally through the continuous development of applications (both classical and emerging) in areas such as control theory, robotic path planning, neurobiology and digital image reconstruction. T...

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