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G-structures of second order.

Demetra Demetropoulou Psomopoulou — 1992

Publicacions Matemàtiques

We introduce a generalization to the second order of the notion of the G-structure, the so called generalized almost tangent structure. For this purpose, the concepts of the second order frame bundle H(V), its structural group L and its associated tangent bundle of second order T(V) of a differentiable manifold V are described from the point of view that is used. Then, a G-structure of second order -called G -structure- is constructed on V by an endorphism J acting...

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 T(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 H(V ), its structural group L and its associated tangent bundle of second order T(V ) of a differentiable manifold...

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