Kaehler metrics on G^C

Details Kaehler metrics on G^C Kaehler metrics on G^C

2002-02-25

arxiv.org/abs/math/0202255v2

Mathematics

Differential Geometry

13 pages, to appear in Crelle. Statement of Theorem 1 strengthened to show existence of Kaehler metrics with arbitrary GxG-inv

Scientific paper

We study G-invariant Kaehler metrics on G^C from the Hamiltonian point of
view. As an application we show that there exist (GxG)-invariant Ricci-flat
Kaehler metrics on G^C for any compact semisimple Lie group G.

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