Torsion-free G3-connections that are not analytic

Quo Shin Chi

doi:10.1016/j.difgeo.2004.05.001

Torsion-free G₃-connections that are not analytic

Quo Shin Chi

Department of Mathematics

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

Abstract

Up to now all the known torsion-free G₃-connections have been analytic. We provide an explicit PDE-solving approach to construct a family of smooth torsion-free G₃-connections that are not equivalent to any analytic ones, although each of these connections is locally homogeneous away from a hypersurface of the base manifold.

Original language	English
Pages (from-to)	253-281
Number of pages	29
Journal	Differential Geometry and its Application
Volume	21
Issue number	3
DOIs	https://doi.org/10.1016/j.difgeo.2004.05.001
State	Published - Nov 2004

Keywords

Holonomy
Torsion-free linear connection

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10.1016/j.difgeo.2004.05.001

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abstract = "Up to now all the known torsion-free G3-connections have been analytic. We provide an explicit PDE-solving approach to construct a family of smooth torsion-free G3-connections that are not equivalent to any analytic ones, although each of these connections is locally homogeneous away from a hypersurface of the base manifold.",

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AB - Up to now all the known torsion-free G3-connections have been analytic. We provide an explicit PDE-solving approach to construct a family of smooth torsion-free G3-connections that are not equivalent to any analytic ones, although each of these connections is locally homogeneous away from a hypersurface of the base manifold.

KW - Holonomy

KW - Torsion-free linear connection

UR - https://www.scopus.com/pages/publications/4644292301

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DO - 10.1016/j.difgeo.2004.05.001

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SP - 253

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JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

IS - 3

ER -

Torsion-free G₃-connections that are not analytic

Abstract

Keywords

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