Uniqueness of balanced metrics on holomorphic vector bundles |
| |
Authors: | Andrea Loi Roberto Mossa |
| |
Affiliation: | Dipartimento di Matematica e Informatica, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy |
| |
Abstract: | Let E→M be a holomorphic vector bundle over a compact Kähler manifold (M,ω). We prove that if E admits a ω-balanced metric (in X. Wang’s terminology (Wang, 2005 [3])) then it is unique. This result together with Biliotti and Ghigi (2008) [14] implies the existence and uniqueness of ω-balanced metrics of certain direct sums of irreducible homogeneous vector bundles over rational homogeneous varieties. We finally apply our result to show the rigidity of ω-balanced Kähler maps into Grassmannians. |
| |
Keywords: | 53D05 53C55 58F06 |
本文献已被 ScienceDirect 等数据库收录! |
|