Spheres and Euclidean spaces via concircular vector fields

DOI10.1007/s00009-021-01869-4zbMath1477.53057OpenAlexW3196401492WikidataQ114232254 ScholiaQ114232254MaRDI QIDQ821525

Sharief Deshmukh, Uday Chand De, Kāzim İlarslan, Hana Al-Sodais

Publication date: 20 September 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01869-4

zbMATH Keywords

concircular vector fieldisometric to sphereisometric to Euclidean space

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Applications of local differential geometry to the sciences (53B50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Perfect fluid spacetimes and gradient solitons

Cites Work

• Unnamed Item
• Unnamed Item
• Geometry of conformal vector fields
• Characterizing spheres by conformal vector fields
• Remarks on non-compact gradient Ricci solitons
• Conformal vector fields and eigenvectors of Laplacian operator
• Characterizing spheres and Euclidean spaces by conformal vector fields
• A note on \(\varphi \)-analytic conformal vector fields
• Geodesic vector fields and eikonal equation on a Riemannian manifold
• A simple characterization of generalized Robertson-Walker spacetimes
• Conformal transformations of Riemannian manifolds
• The conjectures on conformal transformations of Riemannian manifolds
• On infinitesimal concircular transformations
• SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
• Conformal gradient vector fields on a compact Riemannian manifold
• Some results about concircular vector fields on Riemannian manifolds

This page was built for publication: Spheres and Euclidean spaces via concircular vector fields