On a differential equation characterizing Euclidean spheres

Date

2003

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press inc Elsevier Science

Open Access Color

HYBRID

Green Open Access

No

OpenAIRE Downloads

OpenAIRE Views

Publicly Funded

No
Impulse
Average
Influence
Top 10%
Popularity
Top 10%

relationships.isProjectOf

relationships.isJournalIssueOf

Abstract

A characterization of Euclidean spheres out of complete Riemannian manifolds is made by certain vector fields on complete Riemannian manifolds satisfying a partial differential equation on vector fields. (C) 2003 Elsevier Inc. All rights reserved.

Description

Garcia-Rio, Eduardo/0000-0003-1195-1664
ORCID
Garcia-Rio, Eduardo ORCID logo

Keywords

second covariant differential, Laplacian, conformal vector field, affine conformal vector field, k-nullity vector field, projective vector field, Euclidean sphere, \(k\)-Nullity vector field, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), Projective vector field, Affine, Euclidean sphere, Global Riemannian geometry, including pinching, conformal vector field, k-Nullity vector field, Conformal vector field, Second covariant differential, Affine conformal vector field, Laplacian, Analysis

Fields of Science

01 natural sciences, 0101 mathematics

Citation

WoS Q

Q1

Scopus Q

OpenCitations Logo
OpenCitations Citation Count
36

Source

Journal of Differential Equations

Volume

194

Issue

2

Start Page

287

End Page

299

URI

https://doi.org/10.1016/S0022-0396(03)00173-6
 https://hdl.handle.net/20.500.14411/1068

Collections

WoS
Scopus
PlumX Metrics
Citations

CrossRef : 11

Scopus : 47

Captures

Mendeley Readers : 1

Google Scholar Logo
Google Scholar™
Check
OpenAlex Logo
OpenAlex FWCI
0.00

Sustainable Development Goals