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Geodesic mappings of 3-symmetric Riemannian spaces

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Abstract

It is proved that 3-symmetric Riemannian spaces of nonconstant curvature as well as Ricci 3-symmetric Riemannian spaces different from Einstein spaces do not admit nontrivial geodesic mappings.

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References

  1. N. S. Sinyukov, Geodesic Mappings of Riemannian Spaces [in Russian], Moscow (1979).

  2. I. Mikesh, Geodesic Iholomorphic-Projective Mappings of Special Riemannian Spaces [in Russian], Candidate of Science Dissertation, Odessa (1978).

  3. I. Mikesh, "Geodesic mappings of Ricci 2-symmetric Riemannian spaces," Mat. Zametki,28, No. 2, 313–317 (1980).

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  4. I. Mikesh, "Geodesic mappings of Einstein spaces," Mat. Zametki,28, No. 2, 935–938 (1980).

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Authors
  1. I. Mikesh
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  2. V. S. Sobchuk
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Additional information

Translated from Ukrainskii Geometricheskii Sbornik, No. 34, pp. 80–83, 1991.

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Mikesh, I., Sobchuk, V.S. Geodesic mappings of 3-symmetric Riemannian spaces. J Math Sci 69, 885–887 (1994). https://doi.org/10.1007/BF01250819

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  • DOI: https://doi.org/10.1007/BF01250819

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