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带有极点的黎曼流形上Laplacian的本质谱

On the Spectrum of the Laplacian on a Riemannian Manifold with a Pole
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摘要 该文刻画了一些带有极点的Riemann流形上Laplace算子的本质谱. In this paper, we come into talking about the essential spectrum of the Laplacian on a Riemannian manifold which possesses a pole.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2005年第5期985-992,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10371039)山东省 上海市重点学科资助项目曲阜师范大学科研启动基金资助项目
关键词 本质谱 极点 Cartan-Hadamard流形 Essential spectrum Pole Cartan-Hadamard manifold
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参考文献11

  • 1Donnelly H., On the essential spectrum of a complete Riemannian manifold, Topology, 1981, 20: 1-14.
  • 2Li J. Y., Spectrum of the Laplacian of a Riemannian manifold with nonnegative Ricci Curvature which possesses a pole, J. Math. Soc. Japan, 1994, 46(2): 213-216.
  • 3Wu H., Shen C. L., Yu Y. L., An elementary introduction to Riemannian manifolds, Beijing: Beijing University Press, 1989 (in Chinese).
  • 4Wu H., An elementary method in the study of nonnegative curvature, Acta Math., 1979, 142: 57-78.
  • 5Petersen P., Wei G., Relative volume comparison with integral curvature bounds, Geom. funct. Anal., 1997,7: 1031-1045.
  • 6Petersen P., Sprouse C., Integral curvature bounds, distance estimate and applications, J. Diff. Geom., 1998,50: 269-298.
  • 7Li P., Lecture notes on geometric analysis, in “Lecture Notes series 6-Research Institute of Mathematics and Global Analysis Research Center”, Seoul National University, Seoul, 1993.
  • 8Greene R. E., Wu H., Function theory on manifolds which possess a pole, Lecture Notes in Math., 699,Springer-Verlag.
  • 9Petersen P., Wei G., Analysis and geometry on manifolds with integral Ricci curvature bounds Ⅱ, Trans.Amer. Math. Soc., 2000, 353(2): 457-478.
  • 10Chen J., Li J. Y., A remark on eigenvalues, Chinese Science Bull., 1990, 35(2): 536-540.

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