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On Projective Transformations of Riemannian Spaces With Harmonic Curvature

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New Developments in Differential Geometry, Budapest 1996

Abstract

V.S. Sobchuk and S. Tanno studied geodesic mappings and projective transformations of Riemannian spaces with harmonic curvature. It was shown by an analysis of these results that non-Einsteinian Riemannian spaces with harmonic curvature do not admit non-affine geodesic mappings onto spaces with harmonic curvature and do not admit non-affine projective transformations.

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© 1999 Springer Science+Business Media Dordrecht

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Mikeš, J., Radulović, Ž. (1999). On Projective Transformations of Riemannian Spaces With Harmonic Curvature. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_19

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  • DOI: https://doi.org/10.1007/978-94-011-5276-1_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6220-6

  • Online ISBN: 978-94-011-5276-1

  • eBook Packages: Springer Book Archive

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