The Gauss Map for Kählerian Submanifolds of Rn

The Gauss Map for Kählerian Submanifolds of Rn

We introduce a Gauss map for Kähler submanifolds of Euclidean space and study its geometry in relation to that of the given immersion. In particular we generalize a number of results of the classical theory of minimal surfaces in Euclidean space.

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Veröffentlicht in:Transactions of the American Mathematical Society 1992-08, Vol.332 (2), p.515-528
Hauptverfasser: Rigoli, Marco, Tribuzy, Renato
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Curvature
Differential geometry
Euclidean space
Exact sciences and technology
Geometry
Mathematical theorems
Mathematical vectors
Mathematics
Minimal surfaces
Riemann manifold
Sciences and techniques of general use
Tensors
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Beschreibung
Zusammenfassung:We introduce a Gauss map for Kähler submanifolds of Euclidean space and study its geometry in relation to that of the given immersion. In particular we generalize a number of results of the classical theory of minimal surfaces in Euclidean space.
ISSN:0002-9947
1088-6850