First problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces
arXiv:math/0101150
Abstract
Formula for the force field of Newtonian dynamical systems admitting the normal shift of hypersurfaces in Riemannian manifolds is considered. Problem of globalization for geometric structures associated with this formula is studied.
AmSTeX, 14 pages, amsppt style
References in corpus (5)
- Dynamical Systems Accepting the Normal Shift
- Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift
- Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold
- Newtonian dynamical systems admitting normal blow-up of points
- Complete normality conditions for the dynamical systems on Riemannian manifolds
Cited by in corpus (6)
- Normal shift in general Lagrangian dynamics
- On the concept of normal shift in non-metric geometry
- Comparative analysis for pair of dynamical systems, one of which is Lagrangian
- V-representation for normality equations in geometry of generalized Legendre transformation
- On the subset of normality equations describing generalized Legendre transformation
- Foundations of geometry for university students and high-school students