Projective spaces of second order.

Miernowski, Andrzej, and Mozgawa, Witold. "Projective spaces of second order.." Collectanea Mathematica 48.3 (1997): 355-362. <http://eudml.org/doc/40629>.

@article{Miernowski1997,
abstract = {Grassmannians of higher order appeared for the first time in a paper of A. Szybiak in the context of the Cartan method of moving frame. In the present paper we consider a special case of higher order Grassmannian, the projective space of second order. We introduce the projective group of second order acting on this space, derive its Maurer-Cartan equations and show that our generalized projective space is a homogeneous space of this group.},
author = {Miernowski, Andrzej, Mozgawa, Witold},
journal = {Collectanea Mathematica},
keywords = {Espacio proyectivo; Espacio homogéneo; Generalización; Stiefel manifold; group of order 2; transitive action; left-invariant form; isotropy},
language = {eng},
number = {3},
pages = {355-362},
title = {Projective spaces of second order.},
url = {http://eudml.org/doc/40629},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Miernowski, Andrzej
AU - Mozgawa, Witold
TI - Projective spaces of second order.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 3
SP - 355
EP - 362
AB - Grassmannians of higher order appeared for the first time in a paper of A. Szybiak in the context of the Cartan method of moving frame. In the present paper we consider a special case of higher order Grassmannian, the projective space of second order. We introduce the projective group of second order acting on this space, derive its Maurer-Cartan equations and show that our generalized projective space is a homogeneous space of this group.
LA - eng
KW - Espacio proyectivo; Espacio homogéneo; Generalización; Stiefel manifold; group of order 2; transitive action; left-invariant form; isotropy
UR - http://eudml.org/doc/40629
ER -