Analysis of the Hodge Laplacian on the Heisenberg Group
Author | : Detlef Muller |
Publisher | : American Mathematical Soc. |
Total Pages | : 104 |
Release | : 2014-12-20 |
ISBN-10 | : 9781470409395 |
ISBN-13 | : 1470409399 |
Rating | : 4/5 (95 Downloads) |
Download or read book Analysis of the Hodge Laplacian on the Heisenberg Group written by Detlef Muller and published by American Mathematical Soc.. This book was released on 2014-12-20 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1