A. V. Aminova, D. R. Khakimov, “Lie algebras of projective motions of rigid $h$-spaces $H_ {32,3}$ of the type $\{32\}$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, Number 7,Pages 37

Lie algebras of projective motions of rigid $h$-spaces $H_ {32,3}$ of the type $\{32\}$

A. V. Aminova, D. R. Khakimov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: A classification of $h$-spaces $H_{32,3}$ of non-constant curvature with respect to (non-homothetic) Lie algebras of infinitesimal projective and affine transformations is given.

Keywords: differential geometry, five-dimensional pseudo-Riemannian manifold, $h$-space $H_ {32,3}$ of type $\{32\}$, systems of partial differential equations, non-homothetical projective motion, Killing equations, projective Lie algebra.

UDC: 514.763: 514.8

Received: 03.07.2023
Revised: 03.07.2023
Accepted: 26.09.2023

DOI: 10.26907/0021-3446-2024-7-37-46