A Note on Lower Bounds Estimates for the Neumann Eigenvalues of Manifolds with Positive Ricci Curvature

作者：Baudoin Fabrice^*; Vatamanelu Alice

来源：Potential Analysis, 2012, 37(1): 91-101.

DOI：10.1007/s11118-011-9251-z

• Neumann heat kernel
• Li-Yau type estimates

We study new heat kernel estimates for the Neumann heat kernel on a compact manifold with positive Ricci curvature and convex boundary. As a consequence, we obtain lower bounds for the Neumann eigenvalues which are consistent with Weyl's asymptotics.

• 出版日期2012-7