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

Demetra Demetropoulou-Psomopoulou

Publicacions Matemàtiques (1997)

- Volume: 41, Issue: 2, page 437-453
- ISSN: 0214-1493

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topDemetropoulou-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 -

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