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Abstract <p>5-dimensional pseudo-Riemannian manifolds in the form of <i>h</i>-spaces <i>H</i><sub>32</sub> of the type {32} are considered. A classification of <i>h</i>-spaces <i>H</i><sub>32,2</sub> with respect to (nonhomothetic) Lie algebras of infinitesimal projective and affine transformations is given, all projectively mobile metrics are found, and the dimensions, basis elements and structural equations of the maximal nonhomothetic projective Lie algebras operating in them are indicated.</p>

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Lie Algebras of Projective Motions of h-spaces H32,2 of the Type {32}

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. V. Aminova,
  • D. R. Khakimov

摘要

Abstract

5-dimensional pseudo-Riemannian manifolds in the form of h-spaces H32 of the type {32} are considered. A classification of h-spaces H32,2 with respect to (nonhomothetic) Lie algebras of infinitesimal projective and affine transformations is given, all projectively mobile metrics are found, and the dimensions, basis elements and structural equations of the maximal nonhomothetic projective Lie algebras operating in them are indicated.