Doubles of Atoroidal Manifolds, Their Conformal Uniformization and Deformations

Boris Nikolaevich Apanasov
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Boris Nikolaevich Apanasov: Siberian Branch of the USSR Academy of Sciences, Institute of Mathematics

A chapter in Deformations of Mathematical Structures, 1989, pp 93-114 from Springer

Abstract: Abstract We investigate doubles of compact irreducible n-manifolds (orbifolds), whose boundary consists of a finite sum of (n-1)-dimen-sional tori and their interior admits a conformai structure which is uniformizable by some Mo̎bius b-group. On the obtained closed manifolds we introduce a uniformizable conformai structure and investigate the space of its deformations.

Keywords: Parabolic Subgroup; Quasiconformal Mapping; Fundamental Domain; Conformal Structure; Hyperbolic Manifold (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2643-1_9

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DOI: 10.1007/978-94-009-2643-1_9

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