Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature

DOI10.1007/S12220-015-9661-ZzbMath1358.53079arXiv1412.5282OpenAlexW3103292073MaRDI QIDQ345309

Ioan Bucataru

Publication date: 1 December 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5282

zbMATH Keywords

Riemann curvatureFunk functionscalar flag curvatureFinsler metrizabilitygeodesic sprayJacobi endomorphismprojective deformation

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Inverse problems in optimal control (49N45)

Related Items (2)

Non-existence of Funk functions for Finsler spaces of non-vanishing scalar flag curvature ⋮ Inverse problem of left invariant sprays on Lie groups

Cites Work

• Sprays metrizable by Finsler functions of constant flag curvature
• Symplectic geometry and Hilbert's fourth problem
• The theory of sprays and Finsler spaces with applications in physics and biology
• Hilbert forms for a Finsler metrizable projective class of sprays
• Structure presque tangente et connexions. I
• FINSLER METRIZABLE ISOTROPIC SPRAYS AND HILBERT’S FOURTH PROBLEM
• PROJECTIVE AND FINSLER METRIZABILITY: PARAMETERIZATION-RIGIDITY OF THE GEODESICS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature