Titlebook: Cartan Geometries and their Symmetries; A Lie Algebroid Appr Mike Crampin,David Saunders Book 2016 Atlantis Press and the author(s) 2016 Ca

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Groupoids of Fibre Morphisms, such a condition will form a group, this will obviously not be the case when we consider maps with different domains and codomains: we will obtain, instead, a groupoid. This is exactly analogous to the relationship between the fundamental group of a topological space with a given basepoint, and the fundamental groupoid of the space.

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Waldemar Adam,Lazaros Hadjiarapoglouetries which are ‘incomplete’ and which cannot be obtained as infinitesimal versions of finite Cartan geometries. We conclude the chapter with an introduction to the concept of a symmetry for a Cartan geometry.

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Cartan Geometries,etries which are ‘incomplete’ and which cannot be obtained as infinitesimal versions of finite Cartan geometries. We conclude the chapter with an introduction to the concept of a symmetry for a Cartan geometry.

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The impact of reuse on software quality,g bundle will be spheres rather than projective spaces. In this chapter we shall explain how the action of a suitable group gives rise to such a sphere as a homogeneous space, and how the corresponding Cartan geometry can be constructed.