Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964130863> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2964130863 endingPage "194" @default.
- W2964130863 startingPage "177" @default.
- W2964130863 abstract "In this paper, we explore the similarity between normal homogeneity and $delta$-homogeneity in Finsler geometry. They are both non-negatively curved Finsler spaces. We show that any connected $delta$-homogeneous Finsler space is $G$-$delta$-homogeneous, for some suitably chosen connected quasi-compact $G$. So $delta$-homogeneous Finsler metrics can be defined by a bi-invariant singular metric on $G$ and submersion, just as normal homogeneous metrics, using a bi-invariant Finsler metric on $G$ instead. More careful analysis shows, in the space of all Finsler metrics on $G/H$, the subset of all $G$-$delta$-homogeneous ones is in fact the closure for the subset of all $G$-normal ones, in the local $C^0$-topology (Theorem 1.1). Using this approximation technique, the classification work for positively curved normal homogeneous Finsler spaces can be applied to classify positively curved $delta$-homogeneous Finsler spaces, which provides the same classification list. As a by-product, this argument tells more about $delta$-homogeneous Finsler metrics satisfying the (FP) condition (a weaker version of positively curved condition)." @default.
- W2964130863 created "2019-07-30" @default.
- W2964130863 creator A5040663035 @default.
- W2964130863 creator A5040900941 @default.
- W2964130863 date "2018-01-01" @default.
- W2964130863 modified "2023-10-03" @default.
- W2964130863 title "$delta$-homogeneity in Finsler geometry and the positive curvature problem" @default.
- W2964130863 doi "https://doi.org/10.18910/67753" @default.
- W2964130863 hasPublicationYear "2018" @default.
- W2964130863 type Work @default.
- W2964130863 sameAs 2964130863 @default.
- W2964130863 citedByCount "7" @default.
- W2964130863 countsByYear W29641308632016 @default.
- W2964130863 countsByYear W29641308632018 @default.
- W2964130863 countsByYear W29641308632019 @default.
- W2964130863 countsByYear W29641308632020 @default.
- W2964130863 countsByYear W29641308632021 @default.
- W2964130863 crossrefType "journal-article" @default.
- W2964130863 hasAuthorship W2964130863A5040663035 @default.
- W2964130863 hasAuthorship W2964130863A5040900941 @default.
- W2964130863 hasConcept C105795698 @default.
- W2964130863 hasConcept C114614502 @default.
- W2964130863 hasConcept C12520029 @default.
- W2964130863 hasConcept C134306372 @default.
- W2964130863 hasConcept C142259097 @default.
- W2964130863 hasConcept C162324750 @default.
- W2964130863 hasConcept C169316501 @default.
- W2964130863 hasConcept C176217482 @default.
- W2964130863 hasConcept C190470478 @default.
- W2964130863 hasConcept C195065555 @default.
- W2964130863 hasConcept C202444582 @default.
- W2964130863 hasConcept C21547014 @default.
- W2964130863 hasConcept C2524010 @default.
- W2964130863 hasConcept C33923547 @default.
- W2964130863 hasConcept C37914503 @default.
- W2964130863 hasConcept C66882249 @default.
- W2964130863 hasConceptScore W2964130863C105795698 @default.
- W2964130863 hasConceptScore W2964130863C114614502 @default.
- W2964130863 hasConceptScore W2964130863C12520029 @default.
- W2964130863 hasConceptScore W2964130863C134306372 @default.
- W2964130863 hasConceptScore W2964130863C142259097 @default.
- W2964130863 hasConceptScore W2964130863C162324750 @default.
- W2964130863 hasConceptScore W2964130863C169316501 @default.
- W2964130863 hasConceptScore W2964130863C176217482 @default.
- W2964130863 hasConceptScore W2964130863C190470478 @default.
- W2964130863 hasConceptScore W2964130863C195065555 @default.
- W2964130863 hasConceptScore W2964130863C202444582 @default.
- W2964130863 hasConceptScore W2964130863C21547014 @default.
- W2964130863 hasConceptScore W2964130863C2524010 @default.
- W2964130863 hasConceptScore W2964130863C33923547 @default.
- W2964130863 hasConceptScore W2964130863C37914503 @default.
- W2964130863 hasConceptScore W2964130863C66882249 @default.
- W2964130863 hasIssue "1" @default.
- W2964130863 hasLocation W29641308631 @default.
- W2964130863 hasOpenAccess W2964130863 @default.
- W2964130863 hasPrimaryLocation W29641308631 @default.
- W2964130863 hasRelatedWork W155243515 @default.
- W2964130863 hasRelatedWork W1641232420 @default.
- W2964130863 hasRelatedWork W1673612658 @default.
- W2964130863 hasRelatedWork W1796039083 @default.
- W2964130863 hasRelatedWork W1966343801 @default.
- W2964130863 hasRelatedWork W2134890191 @default.
- W2964130863 hasRelatedWork W2160336921 @default.
- W2964130863 hasRelatedWork W2188964154 @default.
- W2964130863 hasRelatedWork W2547513470 @default.
- W2964130863 hasRelatedWork W2561574525 @default.
- W2964130863 hasRelatedWork W2782454206 @default.
- W2964130863 hasRelatedWork W2783808328 @default.
- W2964130863 hasRelatedWork W2963871515 @default.
- W2964130863 hasRelatedWork W2964053854 @default.
- W2964130863 hasRelatedWork W3101694757 @default.
- W2964130863 hasRelatedWork W3120858467 @default.
- W2964130863 hasRelatedWork W3134920572 @default.
- W2964130863 hasRelatedWork W3199398908 @default.
- W2964130863 hasRelatedWork W756485468 @default.
- W2964130863 hasRelatedWork W2185918958 @default.
- W2964130863 hasVolume "55" @default.
- W2964130863 isParatext "false" @default.
- W2964130863 isRetracted "false" @default.
- W2964130863 magId "2964130863" @default.
- W2964130863 workType "article" @default.