Deformation theory of holomorphic Cartan geometries, II-Reference-Cited by-同舟云学术

Deformation theory of holomorphic Cartan geometries, II

Published:2022-01-01 Issue:1 Volume:9 Page:52-64
ISSN:2300-7443
Container-title:Complex Manifolds
language:en
Short-container-title:

Author:

Biswas Indranil¹,Dumitrescu Sorin²,Schumacher Georg³

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research , Homi Bhabha Road , Mumbai , India

2. Université Côte d’Azur , CNRS, LJAD , France

3. Fachbereich Mathematik und Informatik , Philipps-Universität Marburg , Lahnberge, Hans-Meerwein-Strasse , Marburg , Germany

Abstract

Abstract In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed. We show that the natural forgetful map, from the infinitesimal deformations of a flat holomorphic Cartan geometry to the infinitesimal deformations of the underlying flat principal bundle on the topological manifold, is an isomorphism.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/coma-2021-0129/pdf

Reference15 articles.

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