@Article{JPDE-3-54,
author = {Li Jiayu},
title = {The Heat Kernel on Constant Negative Curvature Space Form},
journal = {Journal of Partial Differential Equations},
year = {1990},
volume = {3},
number = {3},
pages = {54--62},
abstract = { Let M be a n-dimensional simply connected, complete Riemannian manifold with constant negative curvature. The heat kernel on M is denoted by H^M_t(x, y) = H^M_t(r(x, y)), where r(x, y) = dist(x, y). We have the explicit formula of H^M_t(x, y) for n=2, 3, and the induction formula of H^M_t(x, y) for n &#8805 4^{[-1]}. But the explicit formula is very complicated for n &#8805 4. ln this paper we give some simple and useful global estimates of H^M_t(x, y), and apply these estimates to the problem of eigenvalue.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5806.html}
}