TY - JOUR
T1 - On Heat Kernel Comparison Theorems
AU - Chen, Roger
N1 - Funding Information:
* This research was partially supported by a grant from NSC.
PY - 1999/6/20
Y1 - 1999/6/20
N2 - In this paper we prove two heat kernel upper bound estimates. One is for general submanifolds in a space form, where the estimate involves the length of the mean curvature vector. The other is about a type of minimal submanifold in a rank one symmetric space of irreducible type. This latter result generalizes various earlier results of a similar nature.
AB - In this paper we prove two heat kernel upper bound estimates. One is for general submanifolds in a space form, where the estimate involves the length of the mean curvature vector. The other is about a type of minimal submanifold in a rank one symmetric space of irreducible type. This latter result generalizes various earlier results of a similar nature.
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U2 - 10.1006/jfan.1999.3395
DO - 10.1006/jfan.1999.3395
M3 - Article
AN - SCOPUS:0041703890
SN - 0022-1236
VL - 165
SP - 59
EP - 79
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -