Hamiltonian 2-Forms in Kähler Geometry, I General Theory
Apostolov, Vestislav ; Calderbank, David M.J. ; Gauduchon, Paul
J. Differential Geom., Tome 72 (2006) no. 1, p. 359-412 / Harvested from Project Euclid
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We introduce the notion of a hamiltonian 2-form on a Kähler manifold and obtain a complete local classification. This notion appears to play a pivotal role in several aspects of Kähler geometry. In particular, on any Kähler manifold with co-closed Bochner tensor, the (suitably normalized) Ricci form is hamiltonian, and this leads to an explicit description of these Kähler metrics, which we call weakly Bochner-flat. Hamiltonian 2-forms also arise on conformally Einstein Kähler manifolds and provide an Ansatz for extremal Kähler metrics unifying and extending many previous constructions.
Publié le : 2006-06-14
Classification:  
@article{1146169934,
     author = {Apostolov, Vestislav and Calderbank, David M.J. and Gauduchon, Paul},
     title = {Hamiltonian 2-Forms in K\"ahler Geometry, I General Theory},
     journal = {J. Differential Geom.},
     volume = {72},
     number = {1},
     year = {2006},
     pages = { 359-412},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146169934}
}

Apostolov, Vestislav; Calderbank, David M.J.; Gauduchon, Paul. Hamiltonian 2-Forms in Kähler Geometry, I General Theory. J. Differential Geom., Tome 72 (2006) no. 1, pp.  359-412. http://gdmltest.u-ga.fr/item/1146169934/