Characterizing spheres by conformal vector fields

DOI10.1007/S11565-010-0101-5zbMath1205.53035OpenAlexW1986113742MaRDI QIDQ627015

Sharief Deshmukh

Publication date: 19 February 2011

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-010-0101-5

zbMATH Keywords

scalar curvatureRicci curvatureconformal vector field

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (15)

Spheres and Euclidean spaces via concircular vector fields ⋮ On conformal solutions of the Yamabe flow ⋮ Hypersurfaces in nearly Kaehler manifold \(\pmb {\mathbb {S}}^3 \times \pmb {\mathbb {S}}^3\) ⋮ Characterizing spheres and Euclidean spaces by conformal vector fields ⋮ A note on hypersurfaces in a sphere ⋮ Some characterizations of spheres by conformal vector fields ⋮ g‐natural symmetries on tangent bundles ⋮ Conformal vector fields on Kaehler manifolds ⋮ Real hypersurfaces in nearly Kaehler 6-sphere ⋮ Geometry of conformal vector fields ⋮ Real hypersurfaces of a complex space form ⋮ A note on \(\varphi \)-analytic conformal vector fields ⋮ Conformal vector fields and eigenvectors of Laplacian operator ⋮ Conformal vector fields on almost co-Kähler manifolds ⋮ Conformal vector fields and the de-Rham Laplacian on a Riemannian manifold with boundary

Cites Work

• Unnamed Item
• Conformality of Riemannian manifolds to spheres
• Closed conformal vector fields
• Conformal transformations of Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Conformal gradient vector fields on a compact Riemannian manifold
• Complete Riemannian Manifolds and Some Vector Fields

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