Russian Mathematics

, Volume 63, Issue 10, pp 77–83 | Cite as

Projective Group Properties of h-Spaces of Type {221}

  • A. V. AminovaEmail author
  • D. R. KhakimovEmail author
Brief Communications


The curvature of a 5-dimensional h-space H221 of the type {221} [3] is investigated, necessary and sufficient conditions are obtained for H221 to be a space of constant curvature K (Theorem 1). A general solution of the Eisenhart equation is found in an h-space H221 of non-constant curvature. The necessary and sufficient conditions for the existence of non-homothetical projective motion in an h-space H221 of non-constant curvature are established (Theorem 5) and, as a consequence, the structure of the non-homothetical projective Lie algebra in such a space is determined (Theorem 6).

Key words

five-dimensional pseudo-Riemannian manifold the Eisenhart equation projective Lie algebra h-space of the type {221} 


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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Kazan Federal UniversityKazanRussia

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