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BY 4.0 license Open Access Published by De Gruyter Open Access February 20, 2022

Deformation theory of holomorphic Cartan geometries, II

  • Indranil Biswas EMAIL logo , Sorin Dumitrescu and Georg Schumacher
From the journal Complex Manifolds


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.

MSC 2010: 32G13; 53C55


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Received: 2021-11-29
Accepted: 2022-01-19
Published Online: 2022-02-20

© 2022 Indranil Biswas et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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