Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Lu, Z."

Now showing items 1-3 of 3

    • Conference Object  

      Eigenvalue estimates on bakry–Émery manifolds 

      Charalambous, N.; Lu, Z.; Rowlett, J. (Springer Verlag, 2015)
      We demonstrate lower bounds for the eigenvalues of compact Bakry– Émery manifolds with and without boundary. The lower bounds for the first eigenvalue rely on a generalized maximum principle which allows gradient estimates ...
    • Article  

      Heat Kernel Estimates and the Essential Spectrum on Weighted Manifolds 

      Charalambous, N.; Lu, Z. (2013)
      We consider a complete noncompact smooth Riemannian manifold M with a weighted measure and the associated drifting Laplacian. We demonstrate that whenever the q-Bakry–Émery Ricci tensor on M is bounded below, then we can ...
    • Article  

      On the spectrum of the Laplacian 

      Charalambous, N.; Lu, Z. (2014)
      In this article we prove a generalization of Weyl's criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get ...