Can I read Asymptotic behavior of the first Dirichlet eigenvalue of AHE manifolds on EtoBox?

Asymptotic behavior of the first Dirichlet eigenvalue of AHE manifolds by Jin, Xiaoshang is a scholarly article available to read on EtoBox.

What is Asymptotic behavior of the first Dirichlet eigenvalue of AHE manifolds about?

In this article, we investigate the rate at which the first Dirichlet eigenvalue of geodesic balls decreases as the radius approaches infinity. We prove that if the conformal infinity of an asymptotically hyperbolic Einstein manifold is of nonnegative Yamabe type, then the two-term asymptotic of the eigenvalues is the same as that in hyperbolic space.

Author

Jin, Xiaoshang

Published

2023

Language

EN