Bottom of spectrum and equivariant family of measures at the boundary in negative curvature.
Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
spectral theorem
spectrum of Laplacian
asymptotic behavior
heat kernel
Riemannian geometry
Rayleigh quotient
14250
The universal cover of a compact negatively curved manifold has strong homogeneity properties at infinity. We present such properties related to the bottom of the spectrum of the Laplacian, equivariant family of measures at the boundary and large time asymptotic of the heat kernel. This is joint work with Seonhee Lim.
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