Geometry of conformal vector fields
From MaRDI portal
Publication:504346
DOI10.1016/j.ajmsc.2016.09.003zbMath1356.53043OpenAlexW2522170129MaRDI QIDQ504346
Publication date: 16 January 2017
Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ajmsc.2016.09.003
scalar curvatureRicci curvatureLaplacianconformal vector fields\(\varphi\)-analytic vector fieldsObata's theorem
Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (15)
Spheres and Euclidean spaces via concircular vector fields ⋮ Estimates for the volume variation of compact submanifolds driven by a stochastic flow ⋮ Generalized \(m\)-quasi-Einstein manifolds admitting a closed conformal vector field ⋮ A note on almost Yamabe solitons ⋮ Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes ⋮ Conformal vector fields and their applications to Einstein-type manifolds ⋮ Conformal vector fields on almost cosymplectic 3-manifolds ⋮ Conformal vector fields of some vacuum classes of static spherically symmetric space-times in f(T,B) gravity ⋮ Lightlike Hypersurfaces in Semi-Riemmanian Manifolds Admitting Affine Conformal Vector Fields ⋮ A note on classification of Kantowski–Sachs and Bianchi type III solutions in f(T) gravity via conformal vector fields ⋮ Unnamed Item ⋮ Papkovich-Neuber type representations with differential forms ⋮ Conformal vector fields on almost co-Kähler manifolds ⋮ A note on classification of spatially homogeneous rotating space-times in f(R) theory of gravity according to their proper conformal vector fields ⋮ On $g$-natural conformal vector fields on unit tangent bundles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizing spheres by conformal vector fields
- Remarks on non-compact gradient Ricci solitons
- Conformal vector fields on Kaehler manifolds
- Conformal vector fields and eigenvectors of Laplacian operator
- Einstein spaces admitting a one-parameter group of conformal transformations
- Curvature bounds for the spectrum of a compact Riemannian manifold of constant scalar curvature
- On conformal and projective transformations in Kählerian manifolds
- On the characterization of complex projective space by differential equations
- Some differential equations on Riemannian manifolds
- A characterization of complex projective space up to biholomorphic isometry
- A generalization of Obata's theorem
- Twisted products in pseudo-Riemannian geometry
- On a differential equation characterizing Euclidean spheres.
- Characterizing specific Riemannian manifolds by differential equations
- Closed conformal vector fields
- Conformal transformations of Riemannian manifolds
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- A note on conformal vector fields on a Riemannian manifold
- Conformal Diffeomorphisms Preserving the Ricci Tensor
- Conformal gradient vector fields on a compact Riemannian manifold
- Complete Riemannian Manifolds and Some Vector Fields
- A characterization of the Euclidean sphere
This page was built for publication: Geometry of conformal vector fields