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Complex contact manifolds and S 1 actions

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Rutgers University, Camden, NJ, 08102, USA

    Haydeé Herrera

  2. Centro de Investigación en Matemáticas, A. P. 402, 36000, Guanajuato, Guanajuato, Mexico

    Rafael Herrera

Authors
  1. Haydeé Herrera
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  2. Rafael Herrera
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Corresponding author

Correspondence to Haydeé Herrera.

Additional information

Rafael Herrera, partially supported by a UCMEXUS grant, and CONACYT grants: J48320-F, J110.387/2006.

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Herrera, H., Herrera, R. Complex contact manifolds and S 1 actions. Geom Dedicata 149, 335–345 (2010). https://doi.org/10.1007/s10711-010-9484-9

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  • DOI: https://doi.org/10.1007/s10711-010-9484-9

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