Tensor of nonabsolute displacements on Grassman-like manifold of centered planes
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 3-5.

Voir la notice de l'article provenant de la source Math-Net.Ru

For the Grassman-like manifold of centered planes in a projective space, we construct an object, which is the tensor of nonabsolute displacements. If this tensor vanishes, then parallel displacements of clothing planes are absolute.
@article{FPM_2010_16_2_a0,
     author = {O. O. Belova},
     title = {Tensor of nonabsolute displacements on {Grassman-like} manifold of centered planes},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--5},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a0/}
}
TY  - JOUR
AU  - O. O. Belova
TI  - Tensor of nonabsolute displacements on Grassman-like manifold of centered planes
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2010
SP  - 3
EP  - 5
VL  - 16
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a0/
LA  - ru
ID  - FPM_2010_16_2_a0
ER  - 
%0 Journal Article
%A O. O. Belova
%T Tensor of nonabsolute displacements on Grassman-like manifold of centered planes
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2010
%P 3-5
%V 16
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a0/
%G ru
%F FPM_2010_16_2_a0
O. O. Belova. Tensor of nonabsolute displacements on Grassman-like manifold of centered planes. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 3-5. http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a0/

[1] Belova O. O., “Svyaznost v rassloenii, assotsiirovannom s grassmanopodobnym mnogoobraziem tsentrirovannykh ploskostei”, Vestn. ChGPU im. I. Ya. Yakovleva, 2006, no. 5(52), 18–20

[2] Belova O. O., “Tenzor krivizny svyaznosti v rassloenii nad grassmanopodobnym mnogoobraziem tsentrirovannykh ploskostei”, Differentsialnaya geometriya mnogoobrazii figur, 40, 2009, 18–28 | MR | Zbl

[3] Evtushik L. E., Lumiste Yu. G., Ostianu N. M., Shirokov A. P., “Differentsialno-geometricheskie struktury na mnogoobraziyakh”, Itogi nauki i tekhn. Ser. Probl. geom. Tr. geom. sem., 9, 1979, 5–247 | MR | Zbl

[4] Norden A. P., Prostranstva affinnoi svyaznosti, Nauka, M., 1976 | MR | Zbl

[5] Shevchenko Yu. I., Osnascheniya tsentroproektivnykh mnogoobrazii, Kaliningrad, 2000