Least Area Planes in Gromov Hyperbolic 3-Spaces with Co-compact Metric期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Least Area Planes in Gromov Hyperbolic 3-Spaces with Co-compact Metric

Authors:	Teruhiko?Soma author-information" > author-information__contact u-icon-before" > mailto:soma@r.dendai.ac.jp" title=" soma@r.dendai.ac.jp" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematical Sciences, School of Science and Engineering, Tokyo Denki University, Hatoyama-machi Saitama-ken, 350–0394, Japan

Abstract:	Let M be a closed irreducible Riemannian 3-manifold such that π₁(M) is word hyperbolic, and p: X→ M the universal covering. Suppose that X has the Riemannian metric induced form that on M via p. In this paper, we will show that any Jordan curve in the boundary ∂X of X spans a properly embedded least area plane in X.Mathematics Subject Classiffications (2000). Primary 57M50; secondary 53A10

Keywords:	Gromov hyperbolic 3-spaces least area planes
本文献已被 SpringerLink 等数据库收录！