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math-ph2008★ 4 cited
Topological quantum numbers and curvature -- examples and applications
Jerzy Szczesny, Marek Biesiada, Marek Szydlowski
Using the idea of the degree of a smooth mapping between two manifolds of the same dimension we present here the topological (homotopical) classification of the mappings between sp…
math-ph2008★ 41 cited
Global integrability of cosmological scalar fields
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois gr…