Newtonian normal shift in multidimensional Riemannian geometry

Authors
Sharipov, RA
Citation
Ra. Sharipov, Newtonian normal shift in multidimensional Riemannian geometry, SB MATH, 192(5-6), 2001, pp. 895-932
Citations number
53
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
192
Issue
5-6
Year of publication
2001
Pages
895 - 932
Database
ISI
SICI code
1064-5616(200105/06)192:5-6<895:NNSIMR>2.0.ZU;2-8
Abstract
An explicit description of all Newtonian dynamical systems admitting normal shift in Riemannian manifolds of dimension n greater than or equal to 3 is obtained. On this basis the kinematics of the normal shift of hypersurface s along trajectories of such dynamical systems is studied.