On Heat Kernel Comparison Theorems

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)59-79
Number of pages21
JournalJournal of Functional Analysis
Volume165
Issue number1
DOIs
Publication statusPublished - 1999 Jun 20

Fingerprint

Heat Kernel
Comparison Theorem
Minimal Submanifolds
Space Form
Symmetric Spaces
Mean Curvature
Estimate
Submanifolds
Upper bound
Generalise

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

@article{5304fd301be8458a8752371da8a2a258,
title = "On Heat Kernel Comparison Theorems",
abstract = "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.",
author = "Roger Chen",
year = "1999",
month = "6",
day = "20",
doi = "10.1006/jfan.1999.3395",
language = "English",
volume = "165",
pages = "59--79",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "1",

}

On Heat Kernel Comparison Theorems. / Chen, Roger.

In: Journal of Functional Analysis, Vol. 165, No. 1, 20.06.1999, p. 59-79.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On Heat Kernel Comparison Theorems

AU - Chen, Roger

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.

UR - http://www.scopus.com/inward/record.url?scp=0041703890&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041703890&partnerID=8YFLogxK

U2 - 10.1006/jfan.1999.3395

DO - 10.1006/jfan.1999.3395

M3 - Article

AN - SCOPUS:0041703890

VL - 165

SP - 59

EP - 79

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

ER -