Analysis of the Hodge Laplacian on the Heisenberg Group
Download or Read eBook Analysis of the Hodge Laplacian on the Heisenberg Group PDF 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.
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) |
Book Synopsis Analysis of the Hodge Laplacian on the Heisenberg Group by : Detlef Muller
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