◍wovepaper
SearchResearchersInstitutions
Sign in
math.DGMay 13, 2009
65
citations (OpenAlex)
authors
  • Josef Mikeš
  • Irena Hinterleitner
arXiv abstractPDF
paper

On geodesic mappings of manifolds with affine connection

arXiv:0905.1839

Abstract

In this paper we prove that all manifolds with affine connection are globally projectively equivalent to some space with equiaffine connection (equiaffine manifold). These manifolds are characterised by a symmetric Ricci tensor.

arXiv comment5 pages

Cited by in corpus (13)

  • Projective Structure and Holonomy in 4-dimensional Lorentz Manifolds
  • Geodesic mappings of (pseudo-) Riemannian manifolds preserve the class of differentiability
  • On global geodesic mappings of n-dimensional surfaces of revolution
  • Unimodular conformal and projective relativity
  • Geodesic mapping onto Kählerian space of the first kind
  • Fundamental PDE's of the Canonical Almost Geodesic Mappings of Type π~1​
  • Special Einstein's equations on Kähler manifolds
  • On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles
  • Reconstruction of the connection or metric from some partial information
  • Associated Derived Invariants Of Geometric Mappings
  • Linear Independence of Covariant Derivatives and Space-Curvatures
  • Associated Derived Invariants for Geometric Mappings of Non-Symmetric Affine Connection Spaces
  • Geodesic mappings and concircular vector fields
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.