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规范固定Yang-Mills热流的能量不等式与Bochner估计

Energy Inequality and Bochner Type Estimates for the Gauge Fixing Yang-Mills Heat Flow
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摘要 通过推导曲率及其高阶导数的演化式,得到了规范固定Yang-Mills热流的能量不等式和Bochner估计. By deriving the evolution of the curvature and its higher derivatives, the author gets an energy, inequality and Bochner type estimates for the gauge fixing Yang-Mills heat flow, which are also the tools for further research on this flow.
作者 姚纯青
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期28-32,共5页 Journal of Southwest China Normal University(Natural Science Edition)
基金 西南大学发展基金(40100306).
关键词 规范固定 Yang—Mills热流 能量不等式 Bochner估计 gauge fixing Yang-Mills heat flow energy inequality Bochner type estimate
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参考文献4

  • 1Donaldson S K.Anti-self-dual Yang-Mills connections on complex algebraic surfaces and stable vector bundles[J].Proc Lond Math Soc,1985,50(3):1 -26.
  • 2Deturck D M.Deforming metrics in the direction of their Ricci tensors[J].J Diff Geom,1983,18:157-162.
  • 3Chen Y M,Shen C L.Monotonicity formula and small action regularity for Yang-Mills flows in higher dimensions[J].Calc Var,1994,2:389-403.
  • 4De Rham G.Differentiable Manifolds[M].Berlin,Heidelberg,New York,Tokyo:Springer-Verlag,1984.

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