On Finsler spaces with the curvature tensors \(P_{hijk}\) and \(S_{hijk}\) satisfying special conditions

DOI10.1016/0034-4877(77)90048-9zbMath0375.53011OpenAlexW2063488719MaRDI QIDQ1246155

Hideo Shimada, Makoto Matsumoto

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0034-4877(77)90048-9

Mathematics Subject Classification ID

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

Related Items (13)

Ricci-flat Finsler metrics by warped product ⋮ Generalized \(P\)-reducible Finsler metrics ⋮ On spherically symmetric Finsler metrics with some non-Riemannian curvature properties ⋮ On compact L-reducible Finsler manifolds ⋮ On L-reducible Finsler manifolds ⋮ On \(P\)-reducibility of general \((\alpha, \beta)\)-metrics ⋮ On \(L\)-reducible spherically symmetric Finsler metrics ⋮ C-free Finsler spaces. Finsler spaces with Randers metric and Kropina metric ⋮ Unnamed Item ⋮ On a special form of \((h)h\nu\)-torsion tensor \(P_{ijk}\) in Finsler space ⋮ Generalized P-reducible (α, β)-metrics with vanishing S-curvature ⋮ Modification of a Finsler space by a normalized semi-parallel vector field ⋮ On hypersurfaces of Finsler spaces characterized by the relation \(M_{\alpha \beta}=\rho h_{\alpha \beta}\)

Cites Work

• On Finsler spaces with Randers' metric and special forms of important tensors
• On the indicatrices of a Finsler space
• Finsler spaces with the hv-curvature tensor \(P_{hijk}\) of a special form
• Über die Torsions- und Krümmungsinvarianten der dreidimensionalen Finslerschen Räume
• A THEORY OF THREE-DIMENSIONAL FINSLER SPACES IN TERMS OF SCALARS
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