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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Mike Crampin,David SaundersExpounds a new approach to the theory of Cartan connections as path connections on a certain class of Lie groupoids, or as infinitesimal connections on corresponding Lie algebroids.It contains a compr

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Atlantis Studies in Variational Geometryhttp://image.papertrans.cn/c/image/222186.jpg

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Lecture Notes in Computer Sciencere both finite and infinitesimal symmetries may be considered, the former being diffeomorphisms with a property such as preserving geodesics, horizontal lifts or something similar, and the latter being vector fields whose flows have the same property.

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Waldemar Adam,Lazaros Hadjiarapoglou (finite) Cartan geometry as a special kind of fibre-morphism groupoid with a path connection, and use this to motivate a detailed investigation of infinitesimal Cartan geometries given in terms of Lie algebroids. In fact our main concern in subsequent chapters will be with the infinitesimal geometr

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Hideaki Okamura,Yutaka Ishikawa,Mario Tokoron in Chap.?., but which is based on the construction (described in Chap.?.) of a bundle over M whose standard fibre is projective space of dimension dim M, together with the groupoid of projective maps between its fibres.