Newtonian Dynamical Systems Admitting Normal Blow-Up of Points

Abstract

Class of Newtonian dynamical systems admitting normal blow-up of points in Riemannian manifolds is considered. Geometric interpretation for weak normality condition, which arose earlier in the theory of dynamical systems admitting the normal shift of hypersurfaces, is found. Typeset by A M S-T E X

A three-dimensional brane universe in a four-dimensional spacetime with a Big Bang.

“…4.1 is a normal shift along integral curves of a first order dynamical system. Other sorts of normal blow-up are considered in [10].…”

Global geometric structures associated with dynamical systems admitting normal shift of hypersurfaces in Riemannian manifolds

“…I am grateful to A. S. Mishchenko for the invitation to visit Moscow and for the opportunity to report the results of thesis [19] and succeeding papers [25], [26], and [27] in his seminar at Moscow State University. I am grateful to N. Yu.…”