# G1-structures of second order.

Demetra Demetropoulou Psomopoulou

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 1, page 51-64
- ISSN: 0214-1493

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topDemetropoulou Psomopoulou, Demetra. "G1-structures of second order.." Publicacions Matemàtiques 36.1 (1992): 51-64. <http://eudml.org/doc/41168>.

@article{DemetropoulouPsomopoulou1992,

abstract = {We introduce a generalization to the second order of the notion of the G1-structure, the so called generalized almost tangent structure. For this purpose, the concepts of the second order frame bundle H2(Vm), its structural group Lm2 and its associated tangent bundle of second order T2(Vm) of a differentiable manifold Vm are described from the point of view that is used. Then, a G1-structure of second order -called G12-structure- is constructed on Vm by an endorphism J acting on T2(Vm), satisfying the relation J2 = 0 and some hypothesis on its rank. Its connection and characteristic cohomology class are defined.},

author = {Demetropoulou Psomopoulou, Demetra},

journal = {Publicacions Matemàtiques},

keywords = {G-estructura; Variedades diferenciables; Cohomología; -structures of second order; almost tangent structures; adapted connections},

language = {eng},

number = {1},

pages = {51-64},

title = {G1-structures of second order.},

url = {http://eudml.org/doc/41168},

volume = {36},

year = {1992},

}

TY - JOUR

AU - Demetropoulou Psomopoulou, Demetra

TI - G1-structures of second order.

JO - Publicacions Matemàtiques

PY - 1992

VL - 36

IS - 1

SP - 51

EP - 64

AB - We introduce a generalization to the second order of the notion of the G1-structure, the so called generalized almost tangent structure. For this purpose, the concepts of the second order frame bundle H2(Vm), its structural group Lm2 and its associated tangent bundle of second order T2(Vm) of a differentiable manifold Vm are described from the point of view that is used. Then, a G1-structure of second order -called G12-structure- is constructed on Vm by an endorphism J acting on T2(Vm), satisfying the relation J2 = 0 and some hypothesis on its rank. Its connection and characteristic cohomology class are defined.

LA - eng

KW - G-estructura; Variedades diferenciables; Cohomología; -structures of second order; almost tangent structures; adapted connections

UR - http://eudml.org/doc/41168

ER -

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