Locally homogeneous structures on hopf surfaces

Benjamin Mckay; Alexey Pokrovskiy

doi:10.1512/iumj.2010.59.4178

Locally homogeneous structures on hopf surfaces

Benjamin Mckay
, Alexey Pokrovskiy

School of Mathematical Sciences

The London School of Economics and Political Science

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

Abstract

We study holomorphic locally homogeneous geometric structures modelled on line bundles over the projective line. We classify these structures on primary Hopf surfaces. We write out the developing map and holonomy morphism of each of these structures explicitly on each primary Hopf surface.

Original language	English
Pages (from-to)	1491-1539
Number of pages	49
Journal	Indiana University Mathematics Journal
Volume	59
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2010.59.4178
Publication status	Published - 2010

Keywords

Hopf surface
Locally homogeneous structure

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10.1512/iumj.2010.59.4178

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title = "Locally homogeneous structures on hopf surfaces",

abstract = "We study holomorphic locally homogeneous geometric structures modelled on line bundles over the projective line. We classify these structures on primary Hopf surfaces. We write out the developing map and holonomy morphism of each of these structures explicitly on each primary Hopf surface.",

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KW - Locally homogeneous structure

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DO - 10.1512/iumj.2010.59.4178

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JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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Locally homogeneous structures on hopf surfaces

Abstract

Keywords

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