Deformations of flat conformal structures on a hyperbolic 3-manifold
type: Item
instance of: scholarly article
title: Deformations of flat conformal structures on a hyperbolic 3-manifold
zbMATH Open document ID: 0785.53035
published in: Journal of Differential Geometry
publication date: 1994-01-02T00:00:00Z
review text: We show that a particular closed hyperbolic 3-manifold with a totally geodesic hypersurface of genus two admits a real two dimensional family of flat conformal deformations that are distinct from the deformations obtained by bending along the totally geodesic hypersurface. The construction is quite general and can be applied to other not necessarily hyperbolic manifolds; it follows from a more general theory of bending hyperbolic cone manifolds along totally geodesic hyperplanes intersecting at the singular set.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53A30
zbMATH DE Number: 444701
zbMATH Keywords: hyperbolic 3-manifold
zbMATH Keywords: totally geodesic hypersurface
zbMATH Keywords: conformal deformations
zbMATH Keywords: bending hyperbolic cone manifolds
Wikidata QID: Q115180292
author: Ser Peow Tan
reviewed by: Ser Peow Tan
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214453426
OpenAlex ID: W1524468807
DOI: 10.4310/JDG/1214453426
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description: scientific article; zbMATH DE number 444701