Abstract
The aim of the present paper is to prove that there exists no Killing vector field on a compact Riemannian manifold (M,g) with the property p(x) = 0 "; € M C {x 0} and p(x 0) < 0. This is an improvement of Yano’s result. It is also proved that dim K 1 (M, R) is not a topological invariant.
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© 1996 Kluwer Academic Publishers
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Tsagas, G. (1996). Special vector fields on a compact Riemannian manifold. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_33
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DOI: https://doi.org/10.1007/978-94-009-0149-0_33
Publisher Name: Springer, Dordrecht
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