Finsler geometry and natural foliations on the tangent bundle

DOI10.1016/S0034-4877(06)80044-3zbMath1157.53354MaRDI QIDQ2644321

Hani Reda Farran, Aurel Bejancu

Publication date: 31 August 2007

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

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (14)

PROJECTIVE AND FINSLER METRIZABILITY: PARAMETERIZATION-RIGIDITY OF THE GEODESICS ⋮ A vertical Liouville subfoliation on the cotangent bundle of a Cartan space and some related structures ⋮ Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure ⋮ A class of metrics and foliations on tangent bundle of Finsler manifolds ⋮ Frobenius integrability and Finsler metrizability for 2-dimensional sprays ⋮ Killing vector fields of horizontal Liouville type ⋮ Foliations on the tangent bundle of Finsler manifolds ⋮ On a class of Riemannian metrics arising from Finsler structures ⋮ On the curvature of warped product Finsler spaces and the Laplacian of the Sasaki-Finsler metrics ⋮ Vertical liouville foliations on the big-tangent manifold of a finsler space ⋮ CARTAN SPACES AND NATURAL FOLIATIONS ON THE COTANGENT BUNDLE ⋮ On warped product Finsler spaces of Landsberg type ⋮ The warped Sasaki–Matsumoto metric and bundlelike condition ⋮ Sasakian structure on the unit tangent bundle of a Finsler manifold

Cites Work

• Finsler geometry, relativity and gauge theories
• The theory of sprays and Finsler spaces with applications in physics and biology
• A geometric characterization of Finsler manifolds of constant curvature \(K=1\)
• Foliated manifolds with bundle-like metrics
• Exact solutions with noncommutative symmetries in Einstein and gauge gravity
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