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On Hermitian Geometry of Complex Surfaces

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Complex, Contact and Symmetric Manifolds

Part of the book series: Progress in Mathematics ((PM,volume 234))

Abstract

The aim of this exposition is to place our recent joint work on anti-self-dual Hermitian surfaces in the more general context of locally conformal Kähler metrics—which literally means that the metric is conformal to a Kähler metric, locally. From now on we will adopt the standard notation l.c.K. for these metrics which were introduced and studied by Vaisman in the 1970s.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Osaka University, Japan

    A. Fujiki

  2. Dipartimento di Matematica, Università di Roma Tre, Italy

    M. Pontecorvo

Authors
  1. A. Fujiki
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  2. M. Pontecorvo
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Editor information

Editors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, 186 75, Praha, Czech Republic

    Oldřich Kowalski

  2. Dipartimento di Matematica Pura ed Applicata, Università di L’Aquila, 67100, L’Aquila, Italy

    Emilio Musso

  3. Dipartimento di Matematica “E. De Giorgi”, Università degli Studi di Lecce, 73100, Lecce, Italy

    Domenico Perrone

Additional information

Dedicated to Professor Lieven Vanhecke

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© 2005 Birkhäuser Boston

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Fujiki, A., Pontecorvo, M. (2005). On Hermitian Geometry of Complex Surfaces. In: Kowalski, O., Musso, E., Perrone, D. (eds) Complex, Contact and Symmetric Manifolds. Progress in Mathematics, vol 234. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4424-5_11

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