Skip to main content
SpringerLink
Log in

Holomorphic Maps of Compact Generalized Hopf Manifolds

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

We investigate holomorphic maps between compact generalized Hopf manifolds (i.e., locally conformal Kähler manifolds with parallel Lee form). We show that they preserve the canonical foliations. Moreover, we study compact complex submanifolds of g.H. manifolds and holomorphic submersions from compact g.H. manifolds.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Abe, K.: On a class of Hermitian manifolds, Invent. Math. 51 (1979), 103-121.

    Google Scholar 

  2. Gauduchon, P.: FrFibrès Hermitiens à endomorphisme de Ricci non négatif, Bull. Soc. Math. France 105 (1977), 113-140.

    Google Scholar 

  3. Harvey, R. and Lawson, H.B. Jr: Calibrated geometries, Acta Math. 148 (1982), 47-157.

    Google Scholar 

  4. Kobayashi, S.: Differential Geometry of Complex Vector Bundles, Publ. Math. Soc. Japan 15, Iwanami Shoten, Publishers and Princeton University Press, 1987.

  5. Tondeur, P.: Foliations on Riemannian Manifolds, Universitext, Springer-Verlag, 1988.

  6. Tsukada, K.: Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifolds, Compositio Math. 93 (1994), 1-22.

    Google Scholar 

  7. Tsukada, K.: The canonical foliation of a compact generalized Hopf manifold, (preprint).

  8. Vaisman, I.: Generalized Hopf manifolds, Geom. Dedicata 13 (1982), 231-255.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Ochanomizu University, Tokyo, 112, Japan

    Kazumi Tsukada

Authors
  1. Kazumi Tsukada
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsukada, K. Holomorphic Maps of Compact Generalized Hopf Manifolds. Geometriae Dedicata 68, 61–71 (1997). https://doi.org/10.1023/A:1004949925097

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004949925097

Search

Navigation