Submanifolds in Carnot Groups

By:

Davide Vittone

Format:

Paperback / softback

Series:

Theses (Scuola Normale Superiore)

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Description

The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub-Riemannian structure; particular emphasis is given to the case of Heisenberg groups. A Geometric Measure Theory viewpoint is adopted, and features as intrinsic perimeters, Hausdorff measures, area formulae, calibrations and minimal surfaces are considered. Area formulae for the measure of submanifolds of arbitrary codimension are obtained in Carnot groups. Intrinsically regular hypersurfaces in the Heisenberg group are extensively studied: suitable notions of graphs are introduced, together with area formulae leading to the analysis of Plateau and Bernstein type problems.

Release date Australia

May 16th, 2008

Author

Davide Vittone

Audience

Professional & Vocational

Illustrations

XX, 180 p.

Pages

180

Series

Theses (Scuola Normale Superiore)

Dimensions

150x240x18

ISBN-13

9788876423277

Product ID

2527338

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