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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George N. Galanis (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Duggal, K.L. (1990)
International Journal of Mathematics and Mathematical Sciences
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Absos Ali Shaikh, Shyamal Kumar Hui (2011)
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Kentaro Yano, Hitosi Hiramatu (1952)
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Arslan, K., Ezentas, R., Murathan, C., Sasahara, T. (2005)
International Journal of Mathematics and Mathematical Sciences
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Rukimbira, Philippe (2004)
International Journal of Mathematics and Mathematical Sciences
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D. Kazhdan, S. Gelfand (1996)
Geometric and functional analysis
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Walter Benz (1972)
Annales Polonici Mathematici
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Goldberg, Ludmila (1988)
International Journal of Mathematics and Mathematical Sciences
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Gloria Marí Beffa (2011)
Annales de l’institut Fourier
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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...
Andrzej Miernowski, Witold Mozgawa (1997)
Collectanea Mathematica
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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.