Mathematical Models in Isotropic Cosmology
An axiomatic approach to the mathematical models of the isotropic cosmology.
gr-qc↗
arXiv subjects
Publications and source records attributed to Sergio Benenti.
An axiomatic approach to the mathematical models of the isotropic cosmology.
An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.
Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the basic notions of vector calculus on Euclidean 3-space and on tangent bundles are needed. Elementary examples are illustrated.