Heat kernel estimates based on Ricci curvature integral bounds

Heat kernel estimates based on Ricci curvature integral bounds

Any Riemannian manifold possesses a minimal solution of the heat equation for the Dirichlet Laplacian, called the heat kernel. During the last decades many authors investigated geometric properties of the manifold such that its heat kernel fulfills a so-called Gaussian upper bound. Especially compac...

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Bibliographic Details
Main Author: Rose, Christian
Other Authors: TU Chemnitz, Fakultät für Mathematik
Format: Doctoral Thesis
Language:English
Published: Universitätsbibliothek Chemnitz 2017
Subjects:
Mannigfaltigkeiten
Gauss-Abschätzung
variable Krümmungsschranken
Ricci curvature
manifolds
heat kernel
Gaussian estimates
variable curvature bounds
integral curvature bounds
ddc:510
Ricci-Krümmung
Mannigfaltigkeit
Wärmeleitungskern
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-228681
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-228681
http://www.qucosa.de/fileadmin/data/qucosa/documents/22868/Dissertation_Rose_PDFa3b.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/22868/signatur.txt.asc

Internet

http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-228681
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-228681
http://www.qucosa.de/fileadmin/data/qucosa/documents/22868/Dissertation_Rose_PDFa3b.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/22868/signatur.txt.asc

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