Palacky University of Olomouc
Abstract: 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.
Keywords: concircular vector field, torse-forming vector field, Riemannian manifold, manifold with affine connection, compact manifold
Classification (MSC2000): 53B20; 53B30, 53C20, 53C24
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