Geometriae Dedicata

, Volume 149, Issue 1, pp 335–345 | Cite as

Complex contact manifolds and S 1 actions

Original Paper


We prove rigidity and vanishing theorems for several holomorphic Euler characteristics on complex contact manifolds admitting holomorphic circle actions preserving the contact structure. Such vanishings are reminiscent of those of LeBrun and Salamon on Fano contact manifolds but under a symmetry assumption instead of a curvature condition.


Circle action Complex contact manifold Holomorphic Euler characteristic 

Mathematics Subject Classification (2000)



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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of Mathematical SciencesRutgers UniversityCamdenUSA
  2. 2.Centro de Investigación en MatemáticasGuanajuatoMexico

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