Complex Asystatic actions of compact Lie Groups

Details Complex Asystatic actions of compact Lie Groups Complex Asystatic actions of compact Lie Groups

2004-11-09

arxiv.org/abs/math/0411204v1

Mathematics

Differential Geometry

10 pages

Scientific paper

In the present paper we introduce the notion of complex asystatic Hamiltonian
action on a K\"ahler manifold. In the algebraic setting we prove that if a
complex linear group $G$ acts complex asystatically on a K\"ahler manifold then
the $G$-orbits are spherical. Finally we give the complete classification of
complex asystatic irreducible representations.

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