Skip to main content
SpringerLink
Log in

Implicitly defined harmonic PHH submersions

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract:

The concept of harmonic pseudo-horizontally homothetic submersion, alias harmonic PHH submersion, expresses the more geometric notion of smooth family of minimal submanifolds indexed by a Kähler parameter manifold. We give results that allow to construct harmonic PHH submersions by solving some implicit equations and we apply this method to the case of sphere bundles.

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.

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Galaţi, Domneasc\u a Str. 47,¶RO-6200, Galaţi, Romania. E-mail: maprodu@math.ugal.ro, , , , , , RO

    M. A. Aprodu

  2. Institute of Mathematics of the Romanian Academy, P. O. Box 1-764, RO-70700, Bucharest, Romania. E-mail: aprodu@stoilow.imar.ro¶Mathematisches Institut, Graduiertenkolleg "Komplexe Mannigfaltigkeiten", Universität Bayreuth, D-95440, Bayreuth Germany. E-mail: aprodu@btm8×5.mat.uni-bayreuth.de, , , , , , RO

    M. Aprodu

Authors
  1. M. A. Aprodu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Aprodu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 3 September 1998 / Accepted: 19 March 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aprodu, M., Aprodu, M. Implicitly defined harmonic PHH submersions. manuscripta math. 100, 103–121 (1999). https://doi.org/10.1007/s002290050198

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002290050198

Search

Navigation