G-structures of second order defined by linear operators satisfying algebraic relations.

Título inglés G-structures of second order defined by linear operators satisfying algebraic relations.
Título español Estructuras G de segundo orden definidas por operadores lineales que satisfacen relaciones algebraicas.
Autor/es Demetropoulou-Psomopoulou, Demetra
Organización Dep. Math. Fac. Sci. Univ. Thessaloniki, Tesalónica, Grecia
Revista 0214-1493
Publicación 1997, 41 (2): 437-453, 17 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés The present work is based on a type of structures on a differential manifold V, called G-structures of the second kind, defined by endomorphism J on the second order tangent bundle T2(V ). Our objective is to give conditions for a differential manifold to admit a real almost product and a generalised almost tangent structure of second order. The concepts of the second order frame bundle H2(V ), its structural group L2 and its associated tangent bundle of second order T2(V ) of a differentiable manifold V, are used from the point of view that is described in papers [5] and [6]. Also, the almost tangent structure of order two is mentioned and its generalisation, the second order almost transverse structure, is defined.
Clasificación UNESCO 121015
Palabras clave español Variedades diferenciables ; Tangentes ; Fibrados
Código MathReviews MR1485494
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