Minimal submanifolds with a parallel or a harmonic p-form

Minimal submanifolds with a parallel or a harmonic p-form

The purpose of this paper is to study the relations between the existence of minimal immersions of a Riemannian manifold M into another and some structural or topological properties of M. The properties on M which we consider are the existence of a parallel or a harmonic p-form.

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Veröffentlicht in:Journal of geometry and physics 2004-06, Vol.51 (2), p.211-228
1. Verfasser: Grosjean, Jean-François
Format: Artikel
Sprache:eng
Schlagworte:
Differential Geometry
Mathematics
Minimal submanifolds
Riemannian geometry
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Beschreibung
Zusammenfassung:The purpose of this paper is to study the relations between the existence of minimal immersions of a Riemannian manifold M into another and some structural or topological properties of M. The properties on M which we consider are the existence of a parallel or a harmonic p-form.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2003.10.009