Kahler manifolds with large isometry group

Details Kahler manifolds with large isometry group Kahler manifolds with large isometry group

1997-08-31

arxiv.org/abs/dg-ga/9709003v2

Mathematics

Differential Geometry

29 pages

Scientific paper

We investigate compact Kahler manifolds, which are acted on by a semisimple compact Lie group G of isometries with one hypersurface orbit. In case of ordinary action and projectable complex structure, we set up a one to one correspondence between such manifolds and abstract models. The Ricci tensor is then computed and we fully characterize the Kahler-Einstein manifolds with an ordinary cohomogeneity one action and projectable complex structure.

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