Bounds of Eigenvalues on Riemannian Manifolds

نویسندگان

  • Jun Ling
  • Zhiqin Lu
چکیده

In this paper, we first give a short review of the eigenvalue estimates of Laplace operator and Schrödinger operators. Then we discuss the evolution of eigenvalues along the Ricci flow, and two new bounds of the first eigenvalue using gradient estimates. 2000 Mathematics Subject Classification: 58J50, 35P15, 53C21.

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تاریخ انتشار 2009