An analytic approach to the normalized Ricci flow-like equation: Revisited

Hdl Handle:
http://hdl.handle.net/10034/348633
Title:
An analytic approach to the normalized Ricci flow-like equation: Revisited
Authors:
Kavallaris, Nikos I.; Suzuki, Takashi
Abstract:
In this paper we revisit Hamilton’s normalized Ricci flow, which was thoroughly studied via a PDE approach in Kavallaris and Suzuki (2010). Here we provide an improved convergence result compared to the one presented Kavallaris and Suzuki (2010) for the critical case λ=8πλ=8π. We actually prove that the convergence towards the stationary normalized Ricci flow is realized through any time sequence.
Affiliation:
University of Chester ; Osaka University
Citation:
Applied Mathematics Letters, 2015, 44, pp. 30-33
Publisher:
Elsevier
Journal:
Applied Mathematics Letters
Publication Date:
Jun-2015
URI:
http://hdl.handle.net/10034/348633
DOI:
10.1016/j.aml.2014.12.009
Additional Links:
http://www.journals.elsevier.com/applied-mathematics-letters/; http://www.sciencedirect.com/science/article/pii/S0893965914003966
Type:
Article
Language:
en
Description:
NOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematics Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematics Letters, 44, June 2015, pp. 30-33, http://dx/doi.org/10.1016/j.aml.2014.12.009
ISSN:
0893-9659
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorKavallaris, Nikos I.en
dc.contributor.authorSuzuki, Takashien
dc.date.accessioned2015-04-08T12:09:19Zen
dc.date.available2015-04-08T12:09:19Zen
dc.date.issued2015-06en
dc.identifier.citationApplied Mathematics Letters, 2015, 44, pp. 30-33en
dc.identifier.issn0893-9659en
dc.identifier.doi10.1016/j.aml.2014.12.009en
dc.identifier.urihttp://hdl.handle.net/10034/348633en
dc.descriptionNOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematics Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematics Letters, 44, June 2015, pp. 30-33, http://dx/doi.org/10.1016/j.aml.2014.12.009en
dc.description.abstractIn this paper we revisit Hamilton’s normalized Ricci flow, which was thoroughly studied via a PDE approach in Kavallaris and Suzuki (2010). Here we provide an improved convergence result compared to the one presented Kavallaris and Suzuki (2010) for the critical case λ=8πλ=8π. We actually prove that the convergence towards the stationary normalized Ricci flow is realized through any time sequence.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://www.journals.elsevier.com/applied-mathematics-letters/en
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0893965914003966en
dc.subjectnon-local parabolic problemsen
dc.subjectRicci flowen
dc.titleAn analytic approach to the normalized Ricci flow-like equation: Revisiteden
dc.typeArticleen
dc.contributor.departmentUniversity of Chester ; Osaka Universityen
dc.identifier.journalApplied Mathematics Lettersen
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