Isometric immersions from a Kähler manifold into the quaternionic projective space

Isometric immersions from a Kähler manifold into the quaternionic projective space

In this paper we present a rigidity theorem for isometric immersions from Kähler manifolds into a quaternionic projective space (or its non compact real form), when its nullity index is everywhere positive.

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Veröffentlicht in:Manuscripta mathematica 2016-09, Vol.151 (1-2), p.243-254
Hauptverfasser: Ferreira, M. J., Simões, B. A., Tribuzy, R.
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Beschreibung
Zusammenfassung:In this paper we present a rigidity theorem for isometric immersions from Kähler manifolds into a quaternionic projective space (or its non compact real form), when its nullity index is everywhere positive.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-016-0837-z