Meromorphic almost rigid geometric structures

2008/05/29 by Sorin Dumitrescu, Dumitrescu, Sorin
Mathematics · #53A55 #53B21 #53C56 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG #msc:53A55 #msc:53B21 #msc:53C56

paper · pdf · doi:10.48550/arxiv.0805.4506

arxiv created 2008/05/29 · arxiv updated 2009/12/01

Abstract

We study the local Killing Lie algebra of meromorphic almost rigid geometric structures on complex manifolds. This leads to classification results for compact complex manifolds bearing holomorphic rigid geometric structures.

Related

• Rigid but not infinitesimally rigid compact complex manifolds
• The Lie Algebra of Local Killing Fields
• Invariants and submanifolds in almost complex geometry
• Rigid geometric structures, isometric actions, and algebraic quotients
• On rigid compact complex surfaces and manifolds