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Almost Hermitian homogeneous structures

Published online by Cambridge University Press:  20 January 2009

Elsa Abbena  and
Sergio Garbiero
Elsa Abbena
Affiliation:
Dipartimento di MatematicaUniversità di Torino via Principe Amedeo, 8 10123 Torino, Italy
Sergio Garbiero
Affiliation:
Dipartimento di MatematicaUniversità di Torino via Principe Amedeo, 8 10123 Torino, Italy
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Let (M, g, J) be an almost Hermitian manifold. More precisely, M is a ∞ differentiable manifold of dimension 2n, J is an almost complex structure on M, i.e. it is a tensor field of type (1, 1) such that

for any X∈(M), ((M) is the Lie algebra of ∞ vector fields on M), and g is a Riemannian metric compatible with J, i.e.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 3 , October 1988 , pp. 375 - 395
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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