×

zbMATH — the first resource for mathematics

On concircular and torse-forming vector fields on compact manifolds. (English) Zbl 1240.53028
Summary: In this paper we modify the theorem by E. Hopf and found results and conditions, on which concircular, convergent and torse-forming vector fields exist on (pseudo-) Riemannian spaces. These results are applied for conformal, geodesic and holomorphically projective mappings of special compact spaces without boundary.

MSC:
53B20 Local Riemannian geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53C20 Global Riemannian geometry, including pinching
53C24 Rigidity results
PDF BibTeX XML Cite