Gaussian measures on the of space of Riemannian metrics
| Autor: | Clarke, Brian, Jakobson, Dmitry, Kamran, Niky, Silberman, Lior, Taylor, Jonathan, Canzani, Yaiza |
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| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We introduce Gaussian-type measures on the manifold of all metrics with a fixed volume form on a compact Riemannian manifold of dimension $\geq 3$. For this random model we compute the characteristic function for the $L^2$ (Ebin) distance to the reference metric. In the Appendix, we study Lipschitz-type distance between Riemannian metrics and give applications to the diameter, eigenvalue and volume entropy functionals. Comment: 16 pages; Final version submitted to journal per NSERC open access policy |
| Databáze: | arXiv |
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