A.A. Agrachev, R.V. Gamkrelidze, S.A. Vakhrameev, Ordinary differential equations on vector bundles and the chronological calculus

Title: Ordinary differential equations on vector bundles and the chronological calculus
Authors: A.A. Agrachev, R.V. Gamkrelidze, S.A. Vakhrameev
Journal title: Journal of Soviet Mathematics
Year: 1991
Issue: 4
Volume: 55
Pages: 1777–1848
Citation:

R. V. Gamkrelidze, A. A. Agrachev, S. A. Vakhrameev, “Ordinary differential equations on vector bundles, and chronological calculus”, Journal of Soviet Mathematics, 1991, 55:4, 1777–1848

Abstract:

The elements of the calculus of flows defined by vector fields on smooth manifolds and vector bundles are presented. Applications of the calculus to some problems in differential geometry are considered.