This article is cited in 3 papers

On the action of the multiplicative group of nonzero real numbers on the pointed Lobachevsky space

E. N. Sosov

Kazan (Volga Region) Federal University

Abstract: We consider the pointed Lobachevsky space $\Lambda$. In terms of the Beltrami–Klein model, we obtain an explicit expression for the action of the multiplicative group of nonzero real numbers on the space $\Lambda$. This action is analogous to that of this group on the pointed Euclidean space.

Keywords: Lobachevsky space, Beltrami–Klein model, multiplicative group of nonzero real numbers.

UDC: 515.124.4

Received: 02.11.2012