EXPONENTIAL MAP OF A CLASS OF TOP SPACES

In this paper we wish to investigate right top spaces [1]. It is proved that if T is a right Rees matrix with the Lie algebra τ then (a) given a Lie subalgebra h of τ there exists a sub top space of T with the Lie algebra h, (b) given a morphism of Lie algebras ψ : g → τ and t ∈ T , where g is the Lie algebra of a simply connected Lie group G, there exists a unique homomorphism ϕ : G → T such that ϕ(e) = e(t) and (ϕ)∗ = ψ. Finally exponential map for right Rees matrixes is defined.