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On Bi-Hermitian Surfaces

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Complex and Symplectic Geometry

Part of the book series: Springer INdAM Series ((SINDAMS,volume 21))

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Abstract

We present an overview of results giving a satisfactory classification of compact bi-Hermitian surfaces (S, J ±). That is to say compact complex surfaces (S, J +) admitting a Hermitian metric g and a different complex structure J − which is also g-Hermitian.

The author found an error in the original version of the chapter. This error affected also his contribution to the book and hence the author wanted to publish a disclaimer by this erratum. An erratum to this chapter can be found at https://doi.org/10.1007/978-3-319-62914-8_19.

The author is a member of GNSAGA—INdAM and of the research project PRIN: “Varietà reali e complesse: geometria, topologia e analisi armonica”.

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Acknowledgements

The author would like to thank Prof. A. Fujiki for longstanding collaboration and friendship.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Università’ Roma Tre, Roma, Italy

    M. Pontecorvo

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  1. M. Pontecorvo
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Correspondence to M. Pontecorvo .

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Editors and Affiliations

  1. Dipartimento di Matematica e Informatica ‘Ulisse Dini’, University of Florence, Firenze, Italy

    Daniele Angella

  2. Dipartimento di Scienze Matematiche, Fisiche e Informatiche, University of Parma, Parma, Italy

    Costantino Medori

  3. Dipartimento di Scienze Matematiche, Fisiche e Informatiche, University of Parma, Parma, Italy

    Adriano Tomassini

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Pontecorvo, M. (2017). On Bi-Hermitian Surfaces. In: Angella, D., Medori, C., Tomassini, A. (eds) Complex and Symplectic Geometry. Springer INdAM Series, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-62914-8_15

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