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On the stability of equivariant embedding of compact CR manifolds with circle action

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We prove the stability of the equivariant embedding of compact strictly pseudoconvex CR manifolds with transversal CR circle action under circle invariant deformations of the CR structures.

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Acknowledgements

The authors thank the referee for many detailed remarks that have helped improve the presentation.

Author information

Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica and National Center for Theoretical Sciences, Astronomy-Mathematics Building, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan

    Chin-Yu Hsiao

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China

    Xiaoshan Li

  3. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931, Cologne, Germany

    George Marinescu

  4. Institute of Mathematics ‘Simion Stoilow’, Romanian Academy, Bucharest, Romania

    George Marinescu

Authors
  1. Chin-Yu Hsiao
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  2. Xiaoshan Li
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  3. George Marinescu
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Corresponding author

Correspondence to George Marinescu.

Additional information

C.-Y. Hsiao was partially supported by Taiwan Ministry of Science of Technology project 104-2628-M-001-003-MY2, the Golden-Jade fellowship of Kenda Foundation and Academia Sinica Career Development Award. X. Li was supported by National Natural Science Foundation of China (Grant no. 11501422). G. Marinescu is partially supported by DFG funded project CRC TRR 191 and gratefully acknowledges the support of Academia Sinica, Taipei, where part of this paper was written.

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Hsiao, CY., Li, X. & Marinescu, G. On the stability of equivariant embedding of compact CR manifolds with circle action. Math. Z. 289, 201–222 (2018). https://doi.org/10.1007/s00209-017-1948-2

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  • DOI: https://doi.org/10.1007/s00209-017-1948-2

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