Submanifolds in Carnot Groups Paperback / softback
by Davide Vittone
Part of the Publications of the Scuola Normale Superiore series
Paperback / softback
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.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:180 pages, XX, 180 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:16/05/2008
- Category:
- ISBN:9788876423277
Information
-
Item not Available
- Format:Paperback / softback
- Pages:180 pages, XX, 180 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:16/05/2008
- Category:
- ISBN:9788876423277
