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

Kavallaris, Nikos I.; Suzuki, Takashi

dc.contributor.author	Kavallaris, Nikos I.	*
dc.contributor.author	Suzuki, Takashi	*
dc.date.accessioned	2015-04-08T12:09:19Z
dc.date.available	2015-04-08T12:09:19Z
dc.date.issued	2015-01-07
dc.identifier.citation	Kavallaris, N. I., & Suzuki, T. (2015). An analytic approach to the normalized Ricci flow-like equation: Revisited. Applied Mathematics Letters, 44, 30-33. https://doi.org/10.1016/j.aml.2014.12.009	en
dc.identifier.issn	0893-9659	en
dc.identifier.doi	10.1016/j.aml.2014.12.009
dc.identifier.uri	http://hdl.handle.net/10034/348633
dc.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	en
dc.description.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.
dc.language.iso	en	en
dc.publisher	Elsevier	en
dc.relation.url	http://www.journals.elsevier.com/applied-mathematics-letters/	en
dc.relation.url	http://www.sciencedirect.com/science/article/pii/S0893965914003966	en
dc.subject	non-local parabolic problems	en
dc.subject	Ricci flow	en
dc.title	An analytic approach to the normalized Ricci flow-like equation: Revisited	en
dc.type	Article	en
dc.contributor.department	University of Chester ; Osaka University	en
dc.identifier.journal	Applied Mathematics Letters
dc.date.accepted	2014-12-09
html.description.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.
rioxxterms.publicationdate	2015-01-07