Hamiltonian homogeneity on a complex contact manifold

Details Hamiltonian homogeneity on a complex contact manifold Hamiltonian homogeneity on a complex contact manifold

2009-05-16

arxiv.org/abs/0905.2656v4

Mathematics

Differential Geometry

26 pages; v4: major conceptual changes from v3 by deleting the section 3 because Theorem 3.2 (ii) is wrong.

Scientific paper

The notion of c-manifolds is introduced as a generalization of complex
contact manifolds as well as the degree of symplectifications. And the
condition of infinitesimal Hamiltonian homogeneity on a c-manifold is
established by means of a moment map defined on the symplectification.

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