Evolution of eigenvalues along rescaled ricci flow

Academic Article

Abstract

  • In this paper, we discuss monotonicity formulae of various entropy functionals under various rescaled versions of Ricci flow. As an application, we prove that the lowest eigenvalue of a family of geometric operators -4δ+kR is monotonic along the normalized Ricci flow for all k1 provided the initial manifold has nonpositive total scalar curvature. © Canadian Mathematical Society 2011.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Li J
  • Start Page

  • 127
  • End Page

  • 135
  • Volume

  • 56
  • Issue

  • 1