Implicitly defined harmonic PHH submersions |
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| Authors: | M A Aprodu M Aprodu |
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| Institution: | Department of Mathematics, University of Gala?i, Domneasc\u a Str. 47,?RO-6200, Gala?i, Romania. E-mail: maprodu@math.ugal.ro, RO
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", Universit?t Bayreuth, D-95440, Bayreuth Germany. E-mail: aprodu@btm8×5.mat.uni-bayreuth.de, RO
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| 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 K?hler 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.
Received: 3 September 1998 / Accepted: 19 March 1999 |
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| Keywords: | Mathematics Subject Classification (1991):58E20 53C42 53C15 32J15 |
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