Projectively related metrics, Weyl nullity and metric projectively invariant equations

DOI10.1112/plms.12002zbMath1388.58005arXiv1507.02375OpenAlexW1946888488MaRDI QIDQ5357353

A. Rod Gover, Vladimir S. Matveev

Publication date: 15 September 2017

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02375

zbMATH Keywords

geodesicWeyl tensorpseudo-Riemannian metrictractor connectionprojectively related metric

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global Riemannian geometry, including pinching (53C20) Issues of holonomy in differential geometry (53C29) Projective differential geometry (53A20) Overdetermined systems of PDEs with variable coefficients (35N10) Projective connections (53B10)

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Quantum integrability for the Beltrami-Laplace operators of projectively equivalent metrics of arbitrary signatures ⋮ A special class of symmetric Killing 2-tensors ⋮ Conelike radiant structures ⋮ Geometry of solutions to the c-projective metrizability equation ⋮ Projectively invariant objects and the index of the group of affine transformations in the group of projective transformations ⋮ Projective geometry of Sasaki–Einstein structures and their compactification ⋮ C-projective geometry ⋮ Metrics in projective differential geometry: the geometry of solutions to the metrizability equation ⋮ Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type ⋮ (Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry

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