| Submanifolds in Carnot Groups 2008 Edition Contributor(s): Vittone, Davide (Author) |
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ISBN: 8876423273 ISBN-13: 9788876423277 Publisher: Edizioni Della Normale OUR PRICE: $28.45 Product Type: Paperback Published: May 2008 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Group Theory - Mathematics | Mathematical Analysis |
| Dewey: 516 |
| Series: Publications of the Scuola Normale Superiore |
| Physical Information: 0.7" H x 5.8" W x 9.4" (0.90 lbs) 180 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |