Conformal vector fields on pseudo-Riemannian spaces

DOI10.1016/S0926-2245(96)00052-6zbMath0901.53048OpenAlexW2090600612WikidataQ115337583 ScholiaQ115337583MaRDI QIDQ1385076

Wolfgang Kuehnel, Hans-Bert Rademacher

Publication date: 6 September 1998

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(96)00052-6

zbMATH Keywords

constant scalar curvaturewarped productEinstein spacesconformal gradient field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

On Lorentzian Ricci solitons on nilpotent Lie groups, Liouville's theorem in conformal geometry, Conformal geometry of gravitational plane waves, On symmetries of generalized Robertson-Walker spacetimes and applications, Oscillator and pendulum equation on pseudo-Riemannian spaces, Conformally Einstein product spaces, Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms, Unnamed Item, Homogeneous Ricci almost solitons, Gradient Ricci solitons with a conformal vector field, Symmetries of \(f\)-associated standard static spacetimes and applications, Uniqueness of static decompositions, Ricci almost solitons on semi‐Riemannian warped products, Three-dimensional homogeneous Lorentzian Yamabe solitons, On some \({\mathcal {AC}}^{\perp }\) manifolds, A review on metric symmetries used in geometry and physics, Constant angle null hypersurfaces, The geometry of closed conformal vector fields on Riemannian spaces, On the geometry of conformally stationary Lorentz spaces, Local dynamics of conformal vector fields, Some results on harmonic and bi-harmonic maps, Cotton tensor, Bach tensor and Kenmotsu manifolds, Formes normales pour les champs conformes pseudo-riemanniens, Conformal vector fields on doubly warped product manifolds and applications, On the Generalized of p-harmonic and f-harmonic Maps, On the \(p\)-harmonic and \(p\)-biharmonic maps, Warped products with special Riemannian curvature, Ricci almost solitons on three-dimensional manifolds with recurrent curvature, Gradient Ricci solitons admitting a closed conformal vector field, Spherically symmetric space–times with constant curvature scalar, Conformal vector fields on spacetimes, Conformal Ricci collineations of space-times, Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space, The zero set of a twistor spinor in any metric signature, Unnamed Item, Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads, Classification of $(k,\mu )$-contact manifolds with divergence free Cotton tensor and vanishing Bach tensor, Ricci almost solitons with associated projective vector field, A note on Obata's rigidity theorem, Sequential warped products: Curvature and conformal vector fields, Killing spinors on Lorentzian manifolds, A local analytic characterization of Schwarzschild metrics

Cites Work

• 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
• Einstein spaces admitting a one-parameter group of conformal transformations
• On a differential equation characterizing a Riemannian structure of a manifold
• Rotational hypersurfaces of space forms with constant scalar curvature
• Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
• The surfaces of Delaunay
• Conformally flat Riemannian manifolds of constant scalar curvature
• Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
• Homogeneous Einstein metrics on spheres and projective spaces
• A negative answer to a conjecture of conformal transformations of Riemannian manifolds
• A differential equation arising from scalar curvature function
• On compact Riemannian manifolds with harmonic curvature
• Transformations conformes des variétés pseudo-riemanniennes
• Some compact hypersurfaces of constant scalar curvature in a sphere
• Essential conformal fields in pseudo-Riemannian geometry
• Symmetries and geometry in general relativity
• Closed conformal vector fields
• Curvature structures and conformal transformations
• Riemannian manifolds admitting a certain conformal transformation group
• The conjectures on conformal transformations of Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• On concircular geometry and Riemann spaces with constant scalar curvatures
• On infinitesimal concircular transformations
• The structure of Einstein spaces admitting conformal motions
• Concircular transformations of Riemannian manifolds
• GRAVITATIONAL WAVES AND CAUSALITY
• Conformal Diffeomorphisms Preserving the Ricci Tensor
• Complete Riemannian Manifolds and Some Vector Fields
• ON RIEMANNIAN MANIFOLDS WITH CONSTANT SCALAR CURVATURE ADMITTING A CONFORMAL TRANSFORMATION GROUP
• GROUPS OF CONFORMAL TRANSFORMATIONS OF RIEMANNIAN SPACES
• Concircular geometry V. Einstein spaces