Citation
Fz. Gong et Fy. Wang, Heat kernel estimates with application to compactness of manifolds, Q J MATH, 52, 2001, pp. 171-180
Citations number
25
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606
→ ACNP
Volume
52
Year of publication
2001
Part
2
Pages
171 - 180
Database
ISI
SICI code
0033-5606(200106)52:<171:HKEWAT>2.0.ZU;2-E
Abstract
Li and Yau type two-sided heat kernel bounds are obtained for symmetric dif
fusions under a curvature-dimension condition, where the heat kernel upper
bound is established for a more general case. As an application, the compac
tness of manifolds is studied using heat kernels. In particular, a conjectu
re by Bueler is proved.