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- Title
Certain Conformal-like Infinitesimal Symmetries and the Curvature of a Compact Riemannian Manifold.
- Authors
Ortega, Miguel; Palomo, Francisco J.; Romero, Alfonso
- Abstract
The notion of orthogonally conformal vector field on a Riemannian manifold is introduced. This class of vector fields properly includes the normalization of nowhere zero conformal ones. It is clarified in several examples. An integral inequality which relates the existence of orthogonally conformal vector fields with properties of the Ricci tensor of a compact Riemannian manifold is proved and some applications are shown.
- Subjects
RIEMANNIAN manifolds; CONFORMAL geometry; RICCI flow; VECTOR algebra; VECTOR analysis
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011, Vol 18, Issue 2, p223
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1307452072