Geodesic
The minimum principle from a Hamiltonian point of view
Documenta mathematica, Tome 3 (1998), pp. 1-14
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let G be a complex Lie group and GR​ a real form of G. For a GR​-stable domain of holomorphy X in a complex G-manifold we consider the question under which conditions the extended domain G⋅X is a domain of holomorphy. We give an answer in term of GR​-invariant strictly plurisubharmonic functions on X and the associate Marsden-Weinstein reduced space which is given by the Kaehler form and the moment map associated with the given strictly plurisubharmonic function. Our main application is a proof of the so called extended future tube conjecture which asserts that G⋅X is a domain of holomorphy in the case where X is the N-fold product of the tube domain in C4 over the positive light cone and G is the connected complex Lorentz group acting diagonally.
DOI : 10.4171/dm/36
Classification : 32M05 
@article{10_4171_dm_36,
     author = {Peter Heinzner},
     title = {The minimum principle from a {Hamiltonian} point of view},
     journal = {Documenta mathematica},
     pages = {1--14},
     year = {1998},
     volume = {3},
     doi = {10.4171/dm/36},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/36/}
}
TY  - JOUR
AU  - Peter Heinzner
TI  - The minimum principle from a Hamiltonian point of view
JO  - Documenta mathematica
PY  - 1998
SP  - 1
EP  - 14
VL  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/36/
DO  - 10.4171/dm/36
ID  - 10_4171_dm_36
ER  - 
%0 Journal Article
%A Peter Heinzner
%T The minimum principle from a Hamiltonian point of view
%J Documenta mathematica
%D 1998
%P 1-14
%V 3
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/36/
%R 10.4171/dm/36
%F 10_4171_dm_36
Peter Heinzner. The minimum principle from a Hamiltonian point of view. Documenta mathematica, Tome 3 (1998), pp. 1-14. doi: 10.4171/dm/36

Cité par Sources :