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到正曲率流形的调和映射的正则性

Regularity of harmonic maps into positively curved manifolds
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摘要 本文讨论了到正曲率流形的调和映射的正则性 ,得到了一个更好的估计 ,从而改进了文 [2 ]的结果 . In this paper, we study the regularity of harmonic maps into positively curved manifold and use a better estimate to obtain a new result.\;
作者 徐慧群
出处 《杭州师范大学学报(自然科学版)》 CAS 2001年第2期5-7,共3页 Journal of Hangzhou Normal University(Natural Science Edition)
关键词 流形 调和映射 正则性 manifold harmonic map regularity
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二级参考文献6

  • 1D. Fischer-Colbrie, R. Schoen, The structure of complete stable minimal surfaces in 3-manifolds of non-negative curvature[J] ,Comm.Pure Appl. Math. 1980, 33:199-211.
  • 2J. Eells and L. Lemaire. Selected topic in harmonic maps[J]. Amer. Math. Soc, 1983.
  • 3Y. L. Pan. Nonexistence of stable harmonic maps front sufficiently pinched simply connected Riemannian manifolds[J]. J. Lond.Math. Soc, 1989,39 : 568- 576.
  • 4T. Okayasu .Pinching and nonexistence of stable harmonic maps[J]. Tohoku. Math. J ,1988,40:213-220.
  • 5R. Howard. The nonexistence of stable submanifoids ,varifolds and harmonic maps in sufficiently pinched simply connected Riemannian manifotds[J]. Mich. Amer. Math, Soc. 1986,294:319-331.
  • 6K. Grove ,H. Karcher and E, A. Ruh. Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problem[J]. Math. Ann. 1974,211:7-21.

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