Geodesic mappings of affine-connected and Riemannian spaces
From MaRDI portal
Publication:1915330
DOI10.1007/BF02365193zbMath0866.53028OpenAlexW2043133137WikidataQ115392392 ScholiaQ115392392MaRDI QIDQ1915330
Publication date: 16 June 1996
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02365193
Geodesics in global differential geometry (53C22) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Related Items (91)
Projectively equivalent metrics on the torus ⋮ Special equitorsion almost geodesic mappings of the third type of non-symmetric affine connection spaces ⋮ Almost geodesic mappings and projections of the sphere ⋮ Projective compactifications and Einstein metrics ⋮ Curvature properties of metric and semi-symmetric linear connections ⋮ Detecting Einstein geodesics: Einstein metrics in projective and conformal geometry ⋮ Submaximal metric projective and metric affine structures ⋮ Geodesic mappings and their generalizations ⋮ Volume and projective equivalence between Riemannian manifolds ⋮ Shells of monotone curves ⋮ Basic equations of G-almost geodesic mappings of the second type, which have the property of reciprocity ⋮ Special almost geodesic mappings of the first type of non-symmetric affine connection spaces ⋮ Recurrent equiaffine projective Euclidean spaces ⋮ Rotary mappings of spaces with affine connection ⋮ On canonical F-planar mappings of spaces with affine connection ⋮ Unnamed Item ⋮ On almost geodesic mappings of the second type between manifolds with non-symmetric linear connection ⋮ Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds ⋮ Fundamental equations of \(F\)-planar mappings ⋮ Canonical \(F\)-planar mappings of spaces with affine connection to two symmetric spaces ⋮ What is the Bochner technique and where is it applied ⋮ Certain properties of generalized Einstein spaces ⋮ Some invariants of holomorphically projective mappings of generalized Kählerian spaces ⋮ Biholomorphically projective mappings of generalized Riemannian space in the Eisenhart sense ⋮ On fundamental equations of geodesic mappings and their generalizations ⋮ Some results on traceless decomposition of tensors ⋮ Conformally Fedosov manifolds ⋮ A review on existence of various recurrent like structures ⋮ Necessary and sufficient conditions for equitorsion geodesic mapping ⋮ On Kähler metrisability of two-dimensional complex projective structures ⋮ Scalar curvature and projective compactness ⋮ Geodesics on regular constant distance surfaces ⋮ Two-dimensional metrics admitting precisely one projective vector field ⋮ On equitorsion geodesic mappings of general affine connection spaces ⋮ The degree of mobility of Einstein metrics ⋮ Symmetric, semisymmetric, and recurrent projectively Euclidean spaces ⋮ New projective tensors for equitorsion geodesic mappings ⋮ On equitorsion geodesic mappings of general affine connection spaces onto generalized Riemannian spaces ⋮ Geodesic maps ``in the large of Ricci-flat spaces with \(n\) complete geodesic lines ⋮ On geodesic definiteness by similarity points ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Geometry of solutions to the c-projective metrizability equation ⋮ Einstein metrics in projective geometry ⋮ On equivalency of various geometric structures ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ TWO REMARKS ON PQε-PROJECTIVITY OF RIEMANNIAN METRICS ⋮ Metrisability of three-dimensional path geometries ⋮ Geodesic mapping onto Kählerian space of the third kind ⋮ Complex curves as lines of geometries ⋮ Projective equivalence and manifolds with equiaffine connection ⋮ Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics ⋮ On metric connections with torsion on the cotangent bundle with modified Riemannian extension ⋮ On preservation of the Riemann tensor with respect to some mappings of affinely connected space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Special symmetric two-tensors, equivalent dynamical systems, cofactor and bi-cofactor systems ⋮ Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two ⋮ Projective curvature tensors of some special manifolds with non-symmetric linear connection ⋮ Tractor calculus, BGG complexes, and the cohomology of cocompact Kleinian groups ⋮ Metric projective geometry, BGG detour complexes and partially massless gauge theories ⋮ Almost geodesic mappings of spaces with affine connection ⋮ Einstein type tensors in the generalized Riemannian space ⋮ Harmonic and projective diffeomorphisms ⋮ Structural equations for a special class of conformal Killing tensors of arbitrary valence ⋮ Infinitesimal \(F\) -planar transformations ⋮ New form of the basic equations of almost geodesic mappings of the second type ⋮ Geodesic mappings of equiaffine and Ricci symmetric spaces ⋮ Unnamed Item ⋮ Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields ⋮ Complete Einstein metrics are geodesically rigid ⋮ The Killing tensors on an $n$ -dimensional manifold with $SL(n, R)$-structure ⋮ C-projective geometry ⋮ 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 ⋮ Projective versus metric structures ⋮ Metrics in projective differential geometry: the geometry of solutions to the metrizability equation ⋮ Geodesic mapping onto Kählerian spaces of the first kind ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Sinyukov’s Equations in Their Relation to a Curvature Operator of Second Kind ⋮ Geodesic mappings of manifolds with affine connection onto the Ricci symmetric manifolds ⋮ Geodesic mappings of spaces with affine connnection onto generalized Ricci symmetric spaces ⋮ Local normal forms for geodesically equivalent pseudo-Riemannian metrics ⋮ Geometrical interpretation of Benenti systems ⋮ Unnamed Item
Cites Work
- Holomorphically projective mappings of special Kähler spaces
- The sixteen classes of almost Hermitian manifolds and their linear invariants
- Groups of transformations of Riemannian manifolds
- Über eine bemerkenswerte Hermitesche Metrik
- Geodesic mappings of certain special Riemannian spaces
- Über konforme und geodaetische Abbildungen
- On q-projectively recurrent spaces
- Über Riemannsche Räume, die infinitesimale konforme Transformationen gestatten
- A note on geodesic mappings of pseudosymmetric Riemannian manifolds
- Projective-symmetric spaces
- An approximate method for the calculation of characteristic oscillations of a liquid in vessels of arbitrary shape and the Zhukovskii potentials for these vessels
- Applications of Lie derivatives to symmetries, geodesic mappings, and first integrals in Riemannian spaces
- Conformal Geodesics
- Curvature in Hermitian metric
- Hermitian Spaces in Geodesic Correspondence
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Geodesic mappings of affine-connected and Riemannian spaces