We collect some properties of the moment map relative to the isometric and holomorphic action of a compact Lie group G on a (compact) Kähler (Einstein) manifold; in particular, we study some invariants which only depend on the cohomology class of the invariant Kähler form and then specialize to the complex projective space when the group G is simple and acts linearly
A note on moment maps and Kähler-Einstein manifolds / F. PODESTA'. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - STAMPA. - 3:(2006), pp. 1215-1219. [10.1142/s0219887806001557]
A note on moment maps and Kähler-Einstein manifolds
PODESTA', FABIO
2006
Abstract
We collect some properties of the moment map relative to the isometric and holomorphic action of a compact Lie group G on a (compact) Kähler (Einstein) manifold; in particular, we study some invariants which only depend on the cohomology class of the invariant Kähler form and then specialize to the complex projective space when the group G is simple and acts linearly
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
