Translator Disclaimer
2010 Toric Kähler Metrics: Cohomogeneity One Examples of Constant Scalar Curvature in Action-Angle Coordinates
Miguel Abreu
J. Geom. Symmetry Phys. 17: 1-33 (2010). DOI: 10.7546/jgsp-17-2010-1-33

Abstract

In these notes of the mini-course given by the author at the XI-th Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 2009 after the introduction of the toric Kähler geometry, we present Calabi's family of ${\rm U}(n)$-invariant extremal Kähler metrics in symplectic action-angle coordinates and show that it actually contains, as particular cases, many interesting cohomogeneity one examples of constant scalar curvature.

Citation

Download Citation

Miguel Abreu. "Toric Kähler Metrics: Cohomogeneity One Examples of Constant Scalar Curvature in Action-Angle Coordinates." J. Geom. Symmetry Phys. 17 1 - 33, 2010. https://doi.org/10.7546/jgsp-17-2010-1-33

Information

Published: 2010
First available in Project Euclid: 24 May 2017

zbMATH: 1210.53068
MathSciNet: MR2642063
Digital Object Identifier: 10.7546/jgsp-17-2010-1-33

Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

JOURNAL ARTICLE
33 PAGES


SHARE
Back to Top