Prescribed Scaler Curvatures for Homogeneous Toric Bundles

Abstract

In this paper, we study the generalized Abreu equation on a Delzant ploytope $\Delta \subset {\mathbb{R}}^2$ and prove the existence of the constant scalar metrics of homogeneous toric bundles under the assumption of an appropriate stability.

arXiv comment28 pages,1 figure. Any comments are welcome

References in corpus (3)

• Interior estimates for solutions of Abreu's equation
• Affine techniques on extremal metrics on toric surfaces
• Extremal metrics on toric surfaces

Cited by in corpus (1)

• Some Estimates for a Generalized Abreu's Equation