Intrinsic theory of projective changes in Finsler geometry

DOI10.1007/S12215-011-0051-5zbMath1231.53063arXiv0904.1602OpenAlexW1997238115MaRDI QIDQ660490

Amr Soleiman, Nabil Labib Youssef, Sayed Hassan Abed

Publication date: 3 February 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1602

zbMATH Keywords

Weyl curvature tensorprojective connectionprojective changebarthel connectionBerwald connectioncanonical sprayDouglas tensorprojectively flat manifoldpullback formalismWeyl torsion tensor

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (1)

Recurrent Finsler manifolds under projective change

Cites Work

• Geometric objects associated with the fundamental connections in Finsler geometry
• On Randers metrics with isotropic \(S\)-curvature
• On the Ricci curvature of a Randers metric of isotropic \(S\)-curvature
• Projectively flat Finsler spaces with \((\alpha{},\beta{})\)-metric
• Structure presque tangente et connexions. II. Errata
• On conformal transformations of Finsler metrics
• Special Finsler manifolds
• On the projective geometry of sprays
• Formes extérieures génératrices de sprays
• Affine and projective transformations of Berwald connections
• Cartan and Berwald connections in the pullback formalism
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