Projective transformations of pseudo-Riemannian manifolds
From MaRDI portal
Publication:1866704
DOI10.1023/A:1021041802041zbMath1043.53054MaRDI QIDQ1866704
Publication date: 2003
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Projective connections (53B10)
Related Items
On discrete projective transformation groups of Riemannian manifolds ⋮ An example of a concircular vector field on a locally conformally Kähler manifold ⋮ Geometric theory of differential systems: linearization criterion for systems of second-order ordinary differential equations with a 4-dimensional solvable symmetry group of the Lie-Petrov type \(VI_{1}\) ⋮ 3-dimensional Levi-Civita metrics with projective vector fields ⋮ On the holomorphy of developable vector fields on almost Hermitian manifolds ⋮ Geodesic mappings and their generalizations ⋮ On projective motions of five-dimensional spaces of special form ⋮ Argument shift method and sectional operators: applications to differential geometry ⋮ On fundamental equations of geodesic mappings and their generalizations ⋮ On the geometry of holomorphic developable vector fields on almost Hermitian manifolds ⋮ Metrics admitting projective and c-projective vector fields ⋮ Projective group properties of \(h\)-spaces of type \(\{221\}\) ⋮ The general solution of the Eisenhart equation and projective motions of pseudo-Riemannian manifolds ⋮ Two-dimensional metrics admitting precisely one projective vector field ⋮ On the geometry of the characteristic vector of an \textit{lcQS}-manifold ⋮ Eikonal equation for anisotropic media ⋮ A note on proper affine vector fields in non-static plane symmetric space-times ⋮ Proper projective symmetry in LRS Bianchi type V spacetimes ⋮ A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields ⋮ Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics ⋮ On preservation of the Riemann tensor with respect to some mappings of affinely connected space ⋮ Generalized projectively symmetric spaces ⋮ Special symmetric two-tensors, equivalent dynamical systems, cofactor and bi-cofactor systems ⋮ Cartan projective connection spaces and group-theoretic analysis of systems of second-order ordinary differential equations ⋮ Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two ⋮ Harmonic and projective diffeomorphisms ⋮ Projective symmetries and laws of conservation in the \(K\)-spaces determined by gravitational fields ⋮ Normal forms of two-dimensional metrics admitting exactly one essential projective vector field ⋮ Complete Einstein metrics are geodesically rigid ⋮ Lie algebras of projective motions of five-dimensional \(H\)-spaces \(H_{221}\) of type \(\{221\}\) ⋮ Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta ⋮ Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics ⋮ Local normal forms for geodesically equivalent pseudo-Riemannian metrics