On a projectively invariant pseudo-distance in Finsler geometry

DOI10.1142/S0219887815500437zbMath1320.53089arXiv1502.04850OpenAlexW2952141163MaRDI QIDQ5255211

Maryam Sepasi, Behroz Bidabad

Publication date: 12 June 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04850

zbMATH Keywords

Poincaré metricpseudo-distanceSchwartzian derivativeFinsler projective changeprojective parameter

Mathematics Subject Classification ID

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)

Related Items (4)

The Schwarzian derivative on Finsler manifolds of constant curvature ⋮ The Schwarzian derivative and conformal transformation on Finsler manifolds ⋮ On projective symmetries on Finsler spaces ⋮ TWO NOTABLE CLASSES OF PROJECTIVE VECTOR FIELDS

Cites Work

• On a projectively invariant distance on Finsler spaces of constant negative Ricci scalar
• On projectively related of two special classes of \((\alpha , \beta )\)-metrics
• A comparison theorem on the Ricci curvature in projective geometry
• ON THE PROJECTIVE ALGEBRA OF SOME (α, β)-METRICS OF ISOTROPIC S-CURVATURE
• On the projective geometry of paths
• Generalized Einstein manifolds

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