G1-Structures of second order

Autores: Demetra Demetropoulou Psomopoulou
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 1, 1992, págs. 51-64
Idioma: inglés
DOI: 10.5565/publmat_36192_05
Títulos paralelos:
- Estructuras-G1 de segundo orden
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Resumen
- 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.