• 3-webs with singularities 

      Arias Amaya, Fabián; Arteaga Bejarano J.R.; Malakhaltsev M. (Maik Nauka-Interperiodica Publishing, 2016)
      A 3-web with singularities is an ordered collection of three one-dimensional distributions L1, L2, L3 on a 2-dimensional manifold M. The subset Σ ⊂ M where these distributions are not pairwise transversal is called the ...
    • A generalization of the Gauss–Bonnet–Hopf–Poincaré formula for sections and branched sections of bundles 

      Arias Amaya, Fabián; Malakhaltsev M. (Elsevier B.V., 2017)
      For a two-dimensional compact oriented Riemannian manifold (M,g), and a vector field V on M, the Hopf–Poincaré theorem combined with the Gauss–Bonnet theorem gives the Gauss–Bonnet–Hopf–Poincaré (GBHP) formula: ∑z∈Z(V)indz(V)= ...
    • Topological Invariants of Principal G-Bundles with Singularities 

      Arias Amaya, Fabián; Malakhaltsev M. (Pleiades Publishing, 2018)
      principal G-bundle with singularities is a principal bundle π: P¯ → M with structure group G¯ which reduces to a subgroup G ⊂ G¯ on the set M \ Σ, where M is an n-dimensional compact manifold and Σ ⊂ M is a k-dimensional ...

      Universidad Tecnológica de Bolívar - 2017 Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional. Resolución No 961 del 26 de octubre de 1970 a través de la cual la Gobernación de Bolívar otorga la Personería Jurídica a la Universidad Tecnológica de Bolívar.