Abstract
We investigate the long-time structure of the heat kernel on a Riemannian manifold that is asymptotically conic near infinity. Using geometric microlocal analysis and building on results of Guillarmou and Hassell, we give a complete description of the asymptotic structure of the heat kernel in all spatial and temporal regimes. We apply this structure to define and investigate a renormalized zeta function and determinant of the Laplacian on .
Citation
David Sher. "The heat kernel on an asymptotically conic manifold." Anal. PDE 6 (7) 1755 - 1791, 2013. https://doi.org/10.2140/apde.2013.6.1755
Information