G1-structures of second order.

Título inglés G1-structures of second order.
Título español Estructuras-G1 de segundo orden.
Autor/es Demetropoulou Psomopoulou, Demetra
Organización Fac. Sci. Univ. Thessaloniki, Thessaloniki, Grecia
Revista 0214-1493
Publicación 1992, 36 (1): 51-64, 19 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés We introduce a generalization to the second order of the notion of the G1-structure, the so called generalized almost tangent structure. For this purpose, the concepts of the second order frame bundle H2(Vm), its structural group Lm2 and its associated tangent bundle of second order T2(Vm) of a differentiable manifold Vm are described from the point of view that is used. Then, a G1-structure of second order -called G12-structure- is constructed on Vm by an endorphism J acting on T2(Vm), satisfying the relation J2 = 0 and some hypothesis on its rank. Its connection and characteristic cohomology class are defined.
Clasificación UNESCO 120404
Palabras clave español G-estructura ; Variedades diferenciables ; Cohomología
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