Geodesics of Random Riemannian Metrics: Supplementary Material

Autor:	LaGatta, Tom, Wehr, Jan
Rok vydání:	2012
Předmět:	Mathematics - Probability Mathematical Physics Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	This is supplementary material for the main Geodesics article by the authors. In Appendix A, we present some general results on the construction of Gaussian random fields. In Appendix B, we restate our Shape Theorem, specialized to the setting of this article. In Appendix C, we state some straightforward consequences on the geometry of geodesics for a random metric. In Appendix D, we provide a rapid introduction to Riemannian geometry for the unfamiliar reader. In Appendix E, we present some analytic estimates which we use in the article. In Appendix F, we present the construction of the conditional mean operator for Gaussian measures. In Appendix G, we describe Fermi normal coordinates, which we use in our construction of the bump metric. Comment: 12 pages. Main article: arxiv:1206.4939
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1206.4940 Zobrazit plný text záznamu View this record from Arxiv