Gauge-fixing constant scalar curvature equations on ruled manifolds and the futaki invariants

研究成果: Article同行評審

11 引文 斯高帕斯(Scopus)

摘要

In this article we introduce and prove the solvability of the gauge-fixing constant scalar curvature equations on ruled Kaehler manifolds. We prove that when some lifting conditions for holomorphic vector fields on the base manifold are satisfied the solutions for the gauge-fixing constant scalar curvature equations are actually solutions for the constant scalar curvature equations provided the corresponding Futaki invariants vanish.

原文English
頁(從 - 到)389-453
頁數65
期刊Journal of Differential Geometry
60
發行號3
DOIs
出版狀態Published - 2002

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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