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.
@article{urn:eudml:doc:41314,
title = {G-structures of second order defined by linear operators satisfying algebraic relations.},
journal = {Publicacions Matem\`atiques},
volume = {41},
year = {1997},
pages = {437-453},
mrnumber = {MR1485494},
zbl = {0899.53020},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41314}
}
Demetropoulou-Psomopoulou, Demetra. G-structures of second order defined by linear operators satisfying algebraic relations.. Publicacions Matemàtiques, Tome 41 (1997) pp. 437-453. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41314/