Hyperbolic manifolds with negatively curved exotic triangulations in dimension six
type: Item
instance of: scholarly article
title: Hyperbolic manifolds with negatively curved exotic triangulations in dimension six
zbMATH Open document ID: 0817.53026
author: Pedro Ontaneda
published in: Journal of Differential Geometry
publication date: 1994-10-18T00:00:00Z
review text: Given \(\varepsilon > 0\), the author constructs closed real hyperbolic manifolds of dimension 6 with exotic triangulations admitting Riemannian metrics with sectional curvatures in the interval \((-1 - \varepsilon, -1 + \varepsilon)\). The idea of the paper is the following: triangulations are changed by cutting along a hypersurface and glueing back with a twist. This surface is considered to be totally geodesic and the author finds one with a large tubular neighbourhood width so that he can provide this triangulation with a Riemannian metric the sectional curvature of which is in the interval \((-1 - \varepsilon, -1 + \varepsilon)\).
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 57Q15
zbMATH DE Number: 663765
zbMATH Keywords: exotic triangulations
zbMATH Keywords: hyperbolic manifold
zbMATH Keywords: sectional curvature
reviewed by: Gheorghe Pitiş
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214455286
OpenAlex ID: W1507262629
Wikidata QID: Q115179435
DOI: 10.4310/JDG/1214455286
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description: scientific article; zbMATH DE number 663765