Triangulations in mÖbius geometry

Feng Luo

doi:10.1090/S0002-9947-1993-1123456-9

Triangulations in mÖbius geometry

Feng Luo

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove that a conformally flat closed manifold of dimension at least three adimts a hyperbolic, spherical or similarity structure in the conformally flat class if and only if the manifold has a smooth triangulation so that all codimension one Simplexes are in some codimension one spheres.

Original language	English (US)
Pages (from-to)	181-193
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	337
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1993-1123456-9
State	Published - May 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1993-1123456-9

Cite this

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title = "Triangulations in m{\"O}bius geometry",

abstract = "We prove that a conformally flat closed manifold of dimension at least three adimts a hyperbolic, spherical or similarity structure in the conformally flat class if and only if the manifold has a smooth triangulation so that all codimension one Simplexes are in some codimension one spheres.",

author = "Feng Luo",

year = "1993",

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doi = "10.1090/S0002-9947-1993-1123456-9",

language = "English (US)",

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N2 - We prove that a conformally flat closed manifold of dimension at least three adimts a hyperbolic, spherical or similarity structure in the conformally flat class if and only if the manifold has a smooth triangulation so that all codimension one Simplexes are in some codimension one spheres.

AB - We prove that a conformally flat closed manifold of dimension at least three adimts a hyperbolic, spherical or similarity structure in the conformally flat class if and only if the manifold has a smooth triangulation so that all codimension one Simplexes are in some codimension one spheres.

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JO - Transactions of the American Mathematical Society

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Triangulations in mÖbius geometry

Abstract

All Science Journal Classification (ASJC) codes

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