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On concircular and torse-forming vector fields on compact manifolds

Mikes, Josef and Chodorová, Marie (2010) On concircular and torse-forming vector fields on compact manifolds. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 26 (2). pp. 329-335. ISSN 0866-0174

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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.

Item Type: Article
Additional Information: concircular vector field, torse-forming vector field, Riemannian manifold, manifold with affine connection, compact manifold
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 02 Feb 2024 09:52
Last Modified: 02 Feb 2024 09:52
URI: http://real.mtak.hu/id/eprint/187144

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