Stability of hyperbolic space under Ricci flow

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SCHNÜRER, Oliver Christian, Felix SCHULZE, Miles SIMON, 2010. Stability of hyperbolic space under Ricci flow

@techreport{Schnurer2010Stabi-755, series={Konstanzer Schriften in Mathematik}, title={Stability of hyperbolic space under Ricci flow}, year={2010}, number={270}, author={Schnürer, Oliver Christian and Schulze, Felix and Simon, Miles} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/755"> <dc:contributor>Simon, Miles</dc:contributor> <dcterms:abstract xml:lang="eng">We study the Ricci flow of initial metrics which are C^0-perturbations of the hyperbolic metric on H^n. If the perturbation is bounded in the L^2-sense, and small enough in the C^0-sense, then we show the following: In dimensions four and higher, the scaled Ricci harmonic map heat flow of such a metric converges smoothly, uniformly and exponentially fast in all C^k-norms and in the L^2-norm to the hyperbolic metric as time approaches infinity. We also prove a related result for the Ricci flow and for the two-dimensional conformal Ricci flow.</dcterms:abstract> <dc:format>application/pdf</dc:format> <dc:contributor>Schnürer, Oliver Christian</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:45Z</dcterms:available> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/755"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:45Z</dc:date> <dc:creator>Schnürer, Oliver Christian</dc:creator> <dc:rights>deposit-license</dc:rights> <dcterms:issued>2010</dcterms:issued> <dc:creator>Schulze, Felix</dc:creator> <dc:language>eng</dc:language> <dcterms:title>Stability of hyperbolic space under Ricci flow</dcterms:title> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dc:creator>Simon, Miles</dc:creator> <dc:contributor>Schulze, Felix</dc:contributor> </rdf:Description> </rdf:RDF>

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