An <IMG >-dimensional space that admits a Poincaré inequality but has no manifold points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

按检索

An -dimensional space that admits a Poincaré inequality but has no manifold points

Authors:	Bruce Hanson Juha Heinonen

Institution:	Department of Mathematics, St. Olaf College, Northfield, Minnesota 55057 ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109

Abstract:	For each integer $n\ge 2$ we construct a compact, geodesic metric space which has topological dimension , is Ahlfors -regular, satisfies the Poincaré inequality, possesses $\mathbb R^n$ as a unique tangent cone at $\mathcal{H}_n$ almost every point, but has no manifold points.

Keywords:	Poincaré inequality Ahlfors $n$-regular manifold point

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文