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An assortment of negatively curved ends

2012/12/16 by Igor Belegradek, Belegradek, Igor
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.1212.3828

Abstract

Motivated by a recent groundbreaking work of Ontaneda, we describe a sizable class of closed manifolds such that the product of each manifold in the class with the real line admits a complete metric of bounded negative sectional curvature which is an exponentially warped near one end and has finite volume near the other end.

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