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

Demetra Demetropoulou-Psomopoulou (1997)

Publicacions Matemàtiques

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...

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