期刊文献+

Stability for F-Harmonic Maps

F-调和映照的稳定性(英文)
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摘要 In this paper, the author discusses the stable F-harmonic maps, and obtains the Liouville-type theorem for F-harmonic maps into δ-pinched manifolds, which improves the ones in [3] due to M Ara.
作者 刘建成
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第3期339-343,共5页 数学季刊(英文版)
基金 the NSFC(10571129) the Mathematical Tianyuan Fund(A0324662)
关键词 F-harmonic map STABILITY δ-pinched manifold 解析几何 F-调和映射 稳定性 δ-收缩空间
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参考文献6

  • 1ARA M.Geometry of F-harmonic maps[J].Kodai Math J,1999,22:243-263.
  • 2SACKS J,UHLENBECK K.The existence of minimal immersions of 2-spheres[J].Ann of Math,1981,113:1-24.
  • 3ARA M.Stability of F-harmonic maps into pinched manifolds[J].Hiroshima Math J,2000,31:171-181.
  • 4OKAYASU T.Pinching and nonexistence of stable harmonic maps[J].Tohoku Math J,1988,40:213-220.
  • 5TAKEUCHI H.Stability and Liouville theorems of p-harmonic maps[J].Japan J Math,1991,17(2):317-332.
  • 6GROVE K,KARCHER H,RUH E A.Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems[J].Math Ann,1974,211:7-21.

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