Geometry of conformal vector fields

DOI10.1016/j.ajmsc.2016.09.003zbMath1356.53043OpenAlexW2522170129MaRDI QIDQ504346

Sharief Deshmukh

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

zbMATH Keywords

scalar curvatureRicci curvatureLaplacianconformal vector fields\(\varphi\)-analytic vector fieldsObata's theorem

Mathematics Subject Classification ID

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

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