Introducing a New Intrinsic Metric

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dc.contributor.authorRainio Oona
dc.contributor.authorVuorinen Matti
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id174827003
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/174827003
dc.date.accessioned2022-10-28T12:32:03Z
dc.date.available2022-10-28T12:32:03Z
dc.description.abstractA new intrinsic metric called the t-metric is introduced. Several sharp inequalities between this metric and the most common hyperbolic type metrics are proven for various domains G subset of R-n. The behaviour of the new metric is also studied under a few examples of conformal and quasiconformal mappings, and the differences between the balls drawn with all the metrics considered are compared by both computational and analytical means.
dc.identifier.jour-issn1422-6383
dc.identifier.olddbid177103
dc.identifier.oldhandle10024/160197
dc.identifier.urihttps://www.utupub.fi/handle/11111/49302
dc.identifier.urlhttps://doi.org/10.1007/s00025-021-01592-2
dc.identifier.urnURN:NBN:fi-fe2022081154089
dc.language.isoen
dc.okm.affiliatedauthorRainio, Oona
dc.okm.affiliatedauthorVuorinen, Matti
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA2 Scientific Article
dc.publisherSPRINGER BASEL AG
dc.publisher.countrySwitzerlanden_GB
dc.publisher.countrySveitsifi_FI
dc.publisher.country-codeCH
dc.publisher.placeBasel
dc.relation.articlenumber71
dc.relation.doi10.1007/s00025-021-01592-2
dc.relation.ispartofjournalResults in Mathematics
dc.relation.volume77
dc.source.identifierhttps://www.utupub.fi/handle/10024/160197
dc.titleIntroducing a New Intrinsic Metric
dc.year.issued2022

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