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

Demetropoulou-Psomopoulou, Demetra. "G-structures of second order defined by linear operators satisfying algebraic relations.." Publicacions Matemàtiques 41.2 (1997): 437-453. <http://eudml.org/doc/41314>.

@article{Demetropoulou1997,
abstract = {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.},
author = {Demetropoulou-Psomopoulou, Demetra},
journal = {Publicacions Matemàtiques},
keywords = {Variedades diferenciables; Tangentes; Fibrados; second order -structures; almost product structures; almost tangent structures; almost transverse structures},
language = {eng},
number = {2},
pages = {437-453},
title = {G-structures of second order defined by linear operators satisfying algebraic relations.},
url = {http://eudml.org/doc/41314},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Demetropoulou-Psomopoulou, Demetra
TI - G-structures of second order defined by linear operators satisfying algebraic relations.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 2
SP - 437
EP - 453
AB - 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.
LA - eng
KW - Variedades diferenciables; Tangentes; Fibrados; second order -structures; almost product structures; almost tangent structures; almost transverse structures
UR - http://eudml.org/doc/41314
ER -