On The Lp Spectrum Of The Hodge Laplacian And Logarithmic Sobolev Inequalities On Non Compact Manifolds
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On the L(P) Spectrum of the Hodge Laplacian and Logarithmic Sobolev Inequalities on Non-compact Manifolds
| Author | : Nelia Sofocli Charalambous |
| Publisher | : |
| Total Pages | : 99 |
| Release | : 2004 |
| Genre | : |
| ISBN | : 9780496088164 |
Finally, as an application, we will show that the spectrum of the Laplacian on one-forms has no gaps on manifolds with a pole and on manifolds that are in a warped product form. This will be done under weaker curvature restrictions than what have been used previously; it will be achieved by finding the L1 spectrum of the Laplacian.
Annual Report
| Author | : Cornell University. Department of Mathematics |
| Publisher | : |
| Total Pages | : 444 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : |
Analysis of the Hodge Laplacian on the Heisenberg Group
| Author | : Detlef Muller |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 104 |
| Release | : 2014-12-20 |
| Genre | : Mathematics |
| ISBN | : 1470409399 |
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
An Initiation to Logarithmic Sobolev Inequalities
| Author | : Gilles Royer |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 132 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 9780821844014 |
This is an introduction to logarithmic Sobolev inequalities with some important applications to mathematical statistical physics. Royer begins by gathering and reviewing the necessary background material on selfadjoint operators, semigroups, Kolmogorov diffusion processes, and solutions of stochastic differential equations.
The P-spectrum of the Laplacian on Compact Hyperbolic Three Manifolds
| Author | : Jeffrey Kirk McGowan |
| Publisher | : |
| Total Pages | : 58 |
| Release | : 1992 |
| Genre | : Geometry, Hyperbolic |
| ISBN | : |
The Laplacian on a Riemannian Manifold
| Author | : Steven Rosenberg |
| Publisher | : Cambridge University Press |
| Total Pages | : 190 |
| Release | : 1997-01-09 |
| Genre | : Mathematics |
| ISBN | : 9780521468312 |
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
