Projective shape manifolds and coplanarity of landmark configurations. A nonparametric approach.
Balan, V., Crane, M., Patrangenaru, V., Liu, X. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Balan, V., Crane, M., Patrangenaru, V., Liu, X. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Lenka Zalabová (2014)
Open Mathematics
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We construct a non-homogeneous contact projective structure which is symmetric from the point of view of parabolic geometries.
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.
Cătălin Tigăeru (1998)
Archivum Mathematicum
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We prove that the set of the -projective symmetries is a Lie algebra.
Kentaro Yano, Hitosi Hiramatu (1952)
Compositio Mathematica
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Jaroslav Hrdina (2009)
Archivum Mathematicum
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We discuss almost complex projective geometry and the relations to a distinguished class of curves. We present the geometry from the viewpoint of the theory of parabolic geometries and we shall specify the classical generalizations of the concept of the planarity of curves to this case. In particular, we show that the natural class of J-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving of this class turns out to be the necessary...