Complex contact manifolds and S1 actions

Haydeé Herrera, Rafael Herrera

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)335-345
Number of pages11
JournalGeometriae Dedicata
Issue number1
StatePublished - Dec 2010

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • Circle action
  • Complex contact manifold
  • Holomorphic Euler characteristic


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