Matches in SemOpenAlex for { <https://semopenalex.org/work/W2557192170> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2557192170 endingPage "118" @default.
- W2557192170 startingPage "107" @default.
- W2557192170 abstract "The theory of conformal changes of Finsler metrics has been studied by M. Hashiguchi [2] in 1976 and some of the Japanese school have directed their efiorts to flnd conformally invariant curvature tensors similar to the Weyl conformal curvature tensor of a Riemannian space and to establish the condition for a Finsler space to be conformally ∞at. Finally, about flve years ago, S.Kikuchi [6] succeeded in flnding a conformally invariant Finsler connection and giving the conformally ∞at condition. We have, however, a strange and objectionable in Kikuchi’s theory. His conformally invariant connection can be only deflned on an essential assumption. Whether this assumption holds or not in a Finsler space under consideration poses newly a di‐cult problem. Since we have not a conformally invariant connection in the Riemannian case, the assumption is, of course, not satisfled by any Riemannian space. About ten years ago, Y.Ichijyo and M.Hashiguchi [5] deflned a conformally invariant Finsler connection in a Finsler space with (fi;fl){metric, where fi = (aij(x)y i y j ) 1=2 is a Riemannian metric and fl = bi(x)y i is a one-form in y i , on the assumption b 2 = a ij bibj 6 0. They gave the condition for a Randers space with the metric fi + fl to be conformally ∞at based on their connection. M.Matsumoto [11] showed that their theory can be applied to a Kropina space with the metric fi 2 =fl. The main purpose of the present paper is to consider Kikuchi’s conformally invariant Finsler connections of Finsler spaces with (fi;fl){metric. Since our main interest is Kikuchi’s assumption, it is su‐cient to stop our studies halfway to Finsler spaces conformal to locally Minkowski spaces. Thus we shall propose a new notion of conformally Berwald Finsler space." @default.
- W2557192170 created "2016-11-30" @default.
- W2557192170 creator A5051087707 @default.
- W2557192170 creator A5054458058 @default.
- W2557192170 creator A5087342114 @default.
- W2557192170 date "2000-01-01" @default.
- W2557192170 modified "2023-09-28" @default.
- W2557192170 title "Theory of Conformally Berwald Finsler Spaces and Its Applications to (fi;fl)-Metrics" @default.
- W2557192170 cites W1560130998 @default.
- W2557192170 cites W2016216392 @default.
- W2557192170 cites W2252293567 @default.
- W2557192170 cites W2275683013 @default.
- W2557192170 cites W2480738667 @default.
- W2557192170 cites W269130334 @default.
- W2557192170 cites W34173117 @default.
- W2557192170 hasPublicationYear "2000" @default.
- W2557192170 type Work @default.
- W2557192170 sameAs 2557192170 @default.
- W2557192170 citedByCount "4" @default.
- W2557192170 countsByYear W25571921702013 @default.
- W2557192170 countsByYear W25571921702014 @default.
- W2557192170 crossrefType "journal-article" @default.
- W2557192170 hasAuthorship W2557192170A5051087707 @default.
- W2557192170 hasAuthorship W2557192170A5054458058 @default.
- W2557192170 hasAuthorship W2557192170A5087342114 @default.
- W2557192170 hasConcept C12089564 @default.
- W2557192170 hasConcept C13355873 @default.
- W2557192170 hasConcept C134306372 @default.
- W2557192170 hasConcept C138885662 @default.
- W2557192170 hasConcept C169316501 @default.
- W2557192170 hasConcept C190470478 @default.
- W2557192170 hasConcept C195065555 @default.
- W2557192170 hasConcept C202444582 @default.
- W2557192170 hasConcept C2524010 @default.
- W2557192170 hasConcept C2778572836 @default.
- W2557192170 hasConcept C33923547 @default.
- W2557192170 hasConcept C37914503 @default.
- W2557192170 hasConcept C41895202 @default.
- W2557192170 hasConcept C98214594 @default.
- W2557192170 hasConceptScore W2557192170C12089564 @default.
- W2557192170 hasConceptScore W2557192170C13355873 @default.
- W2557192170 hasConceptScore W2557192170C134306372 @default.
- W2557192170 hasConceptScore W2557192170C138885662 @default.
- W2557192170 hasConceptScore W2557192170C169316501 @default.
- W2557192170 hasConceptScore W2557192170C190470478 @default.
- W2557192170 hasConceptScore W2557192170C195065555 @default.
- W2557192170 hasConceptScore W2557192170C202444582 @default.
- W2557192170 hasConceptScore W2557192170C2524010 @default.
- W2557192170 hasConceptScore W2557192170C2778572836 @default.
- W2557192170 hasConceptScore W2557192170C33923547 @default.
- W2557192170 hasConceptScore W2557192170C37914503 @default.
- W2557192170 hasConceptScore W2557192170C41895202 @default.
- W2557192170 hasConceptScore W2557192170C98214594 @default.
- W2557192170 hasIssue "1" @default.
- W2557192170 hasLocation W25571921701 @default.
- W2557192170 hasOpenAccess W2557192170 @default.
- W2557192170 hasPrimaryLocation W25571921701 @default.
- W2557192170 hasRelatedWork W155243515 @default.
- W2557192170 hasRelatedWork W15600267 @default.
- W2557192170 hasRelatedWork W1560130998 @default.
- W2557192170 hasRelatedWork W1943687895 @default.
- W2557192170 hasRelatedWork W1995863281 @default.
- W2557192170 hasRelatedWork W2065832621 @default.
- W2557192170 hasRelatedWork W2217029695 @default.
- W2557192170 hasRelatedWork W2561574525 @default.
- W2557192170 hasRelatedWork W2585262043 @default.
- W2557192170 hasRelatedWork W2622155268 @default.
- W2557192170 hasRelatedWork W2725608888 @default.
- W2557192170 hasRelatedWork W2783706937 @default.
- W2557192170 hasRelatedWork W2941521009 @default.
- W2557192170 hasRelatedWork W2963354745 @default.
- W2557192170 hasRelatedWork W3101694757 @default.
- W2557192170 hasRelatedWork W3120858467 @default.
- W2557192170 hasRelatedWork W3202514960 @default.
- W2557192170 hasRelatedWork W977074028 @default.
- W2557192170 hasRelatedWork W2482949953 @default.
- W2557192170 hasRelatedWork W2740199199 @default.
- W2557192170 hasVolume "5" @default.
- W2557192170 isParatext "false" @default.
- W2557192170 isRetracted "false" @default.
- W2557192170 magId "2557192170" @default.
- W2557192170 workType "article" @default.