The length and the relative length of tangent vectors of Finsler spaces

DOI10.1016/0034-4877(79)90006-5zbMath0432.53012OpenAlexW2032230561MaRDI QIDQ1138800

Makoto Matsumoto

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90006-5

zbMATH Keywords

Finsler spacesrelative lengthtangent vectors

Mathematics Subject Classification ID

Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (2)

A counterexample to Matsumoto's conjecture regarding absolute length vs. relative length in Finsler manifolds ⋮ Indicatrix geometry clarifies that Finsler length can be larger than relative length

Cites Work

• On the indicatrices of a Finsler space
• V-transformations of Finsler spaces. I: Definition, infinitesimal transformations and isometries
• Über die Minimalflächen in gefaserten Finslerräumen
• A THEORY OF THREE-DIMENSIONAL FINSLER SPACES IN TERMS OF SCALARS
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