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Homogeneous structures on Kähler submanifolds of complex projective spaces*
Published online by Cambridge University Press: 20 January 2009
Abstract
In this paper we give a differential characterization of homogeneous Kähler submanifolds of complex projective spaces in terms of the existence of a tensor field, the homogeneous structure S. We show that for any m∈M, Sm determines a unitary representation whose orbit at m is a compact, complete Kähler submanifold which extends M. We consider the U(n) × U(N ~ n) (n = dim ℂM) module of the space of these tensors and we find its irreducible factors.
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- Copyright © Edinburgh Mathematical Society 1996
Footnotes
Work partially supported by the GNSAGA of CNR and by the MURST of Italy.
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