On the projective geometry of -spreads
Kentaro Yano, Hitosi Hiramatu (1952)
Compositio Mathematica
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On the projective geometry of -spreads
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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.