Submanifolds in Carnot Groups - Davide Vittone - Bog

The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub-Riemannian structure; 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.