Spray simulation. II
type: Item
instance of: scholarly article
title: Spray simulation. II
zbMATH Open document ID: 0841.58055
author: V. A. Igoshin
published in: Russian Mathematics
publication date: 1996-01-03T00:00:00Z
review text: In part I of this paper [Russ. Math. 36, No. 6, 60-66 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 6(361), 63-70 (1992; Zbl 0778.58056)] and in [Sov. Math., Dokl. 44, No. 3, 474-478 (1992); translation from Dokl. Akad. Nauk SSSR 320, No. 3, 531-535 (1991; Zbl 0776.58029)], the author has constructed a spray model of an arbitrary quasigeodesic flow (QF), i.e., a second order ordinary differential equation. As well there had been revealed applications of such a simulation. In particular, there had been defined an exponential mapping of an arbitrary QF and obtained results on exponential properties and on the two-end problem for QF. In the present article we apply classical results on differential geometry of spray spaces (or, what is the same, of general spaces of geodesics) in order to study pointwise isomorphisms of QF (Sections 2 and 3 of the article) and to examine the QF triviality problem (see Section 5).
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
zbMATH DE Number: 822626
zbMATH Keywords: spray model
zbMATH Keywords: quasigeodesic flow
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 822626