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Mathematics > Differential Geometry

arXiv:2201.09596 (math)
[Submitted on 24 Jan 2022]

Title:Deformation Theory of Holomorphic Cartan Geometries, II

Authors:Indranil Biswas, Sorin Dumitrescu, Georg Schumacher
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Abstract:In this continuation of \cite{BDS}, 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.
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
Cite as: arXiv:2201.09596 [math.DG]
  (or arXiv:2201.09596v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.2201.09596

Submission history

From: Sorin Dumitrescu [view email]
[v1] Mon, 24 Jan 2022 11:11:52 UTC (12 KB)
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