Characterizing Specific Riemannian Manifolds by Differential Equations
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Date
2003
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Average
Influence
Top 10%
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Top 10%
Abstract
Some characterizations of certain rank-one symmetric Riemannian manifolds by the existence of nontrivial solutions to certain partial differential equations on Riemannian manifolds are surveyed.
Description
Garcia-Rio, Eduardo/0000-0003-1195-1664
ORCID
Keywords
Hessian tensor, second covariant differential, Laplacian, affinity tensor, tension field, eigenvalue, eigenfunction, eigenvector field, conformal vector field, projective vector field, k-nullity vector field, Euclidean sphere, complex projective space, quaternionic projective space, quaternionic projective space, tension field, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), Euclidean sphere, Global Riemannian geometry, including pinching, conformal vector field, Hessian tensor, complex projective space, projective vector field, eigenvector field, eigenvalue, Laplacian, second covariant differential, affinity tensor, \(k\)-nullity vector field, Differential geometry of symmetric spaces
Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
24
Source
Acta Applicandae Mathematica
Volume
76
Issue
2
Start Page
195
End Page
219
PlumX Metrics
Citations
CrossRef : 26
Scopus : 26
SCOPUS™ Citations
30
checked on Feb 13, 2026
Web of Science™ Citations
31
checked on Feb 13, 2026
Page Views
2
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