Submaximal metric projective and metric affine structures

DOI10.1016/j.difgeo.2013.10.005zbMath1295.53012arXiv1304.4426OpenAlexW2963408639WikidataQ115356478 ScholiaQ115356478MaRDI QIDQ2636735

Vladimir S. Matveev, Boris S. Kruglikov

Publication date: 31 January 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4426

zbMATH Keywords

pseudo-Riemannian metricsmetric connectionsprojective symmetriesaffine symmetriessubmaximal dimensions

Mathematics Subject Classification ID

Linear and affine connections (53B05) Projective connections (53B10)

Related Items

Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension, 3-dimensional Levi-Civita metrics with projective vector fields, Maximally degenerate Weyl tensors in Riemannian and Lorentzian signatures, Projectively invariant objects and the index of the group of affine transformations in the group of projective transformations, Metrisability of three-dimensional path geometries, Almost every path structure is not variational

Cites Work

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• The gap phenomenon in parabolic geometries
• Proof of the projective Lichnerowicz-Obata conjecture
• Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two
• Estimates of orders of groups of projective transformations of Riemannian spaces
• Projectively connected manifolds admitting groups of projective transformations of dimension \(n^2+n\)
• Geodesic mappings of affine-connected and Riemannian spaces
• The gap phenomenon in the dimension study of finite type systems
• Lichnerowicz-Obata conjecture in dimension two
• Maximally degenerate Weyl tensors in Riemannian and Lorentzian signatures
• A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields
• Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond
• Degree of mobility for metrics of Lorentzian signature and parallel (0,2)-tensor fields on cone manifolds
• Symmetry group classification of ordinary differential equations: Survey of some results
• Metric connections in projective differential geometry
• On Finsler Spaces with Completely Integrable Equations of Killing
• On n-Dimensional Riemannian Spaces Admitting a Group of Motions of Order n(n-1)/2 + 1