Differential and geometric structure for the tangent bundle of a projective limit manifold
George N. Galanis (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Singular Klein manifolds.”
Differential and geometric structure for the tangent bundle of a projective limit manifold
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Moving frames, Geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors
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In this paper we describe a non-local moving frame along a curve of pure spinors in , and its associated basis of differential invariants. We show that the space of differential invariants of Schwarzian-type define a Poisson submanifold of the spinor Geometric Poisson brackets. The resulting restriction is given by a decoupled system of KdV Poisson structures. We define a generalization of the Schwarzian-KdV evolution for pure spinor curves and we prove that it induces a decoupled system...
Projective spaces of second order.
Andrzej Miernowski, Witold Mozgawa (1997)
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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.