A Note on the Geometry of Positively-Curved Riemannian Manifolds

Autor:	Memarian, Yashar
Rok vydání:	2013
Předmět:	Mathematics - Metric Geometry
Druh dokumentu:	Working Paper
Popis:	In this paper I present a comparison theorem for the waist of Riemannian manifolds with positive sectional curvature. The main theorem of this paper gives a partial positive answer to a conjecture formulated by M.Gromov in [8]. The content of this paper combines two aspects: classical volume comparison theorems of Riemannian geometry, and geometric measure theoretic ideas stemming from Almgren-Pitts Min-Max theory Comment: 20 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.0792 Zobrazit plný text záznamu View this record from Arxiv