Projective spaces of second order

Autores: Witold Mozgawa, Andrzej Miernowski
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 3, 1997, págs. 355-362
Idioma: inglés
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Resumen
- Grassmannians of higher order appeared for the first time in a paper of A. Szybiak ([3]) 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.
Referencias bibliográficas
- S. Kobayashi and T. Nagano, On projective connections, J. Math. Mech. 13 (1963), 215–235.
- W. Mozgawa, Some topological properties of Grassmannians of higher order, Bull. Math. Acad. Sci. Polish 25 (1977), 691–695.
- A. Szybiak, Grassmannians of higher order and equations of moving frame, An. Ştiinţ. Univ. “Al. I. Cuza” 22 (1976), 201–212.