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Edizioni Della Normale

Submanifolds in Carnot Groups

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Product Code: 9788876423277
ISBN13: 9788876423277
Condition: New
$35.56

Submanifolds in Carnot Groups

$35.56
 

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.




Author: Davide Vittone
Publisher: Edizioni Della Normale
Publication Date: May 16, 2008
Number of Pages: 180 pages
Binding: Paperback or Softback
ISBN-10: 8876423273
ISBN-13: 9788876423277
 

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