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Könyv Cartan Geometries and their Symmetries Mike Crampin

Cartan Geometries and their Symmetries

A Lie Algebroid Approach

Szerző: Mike Crampin, David Saunders
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Atlantis Press (Zeger Karssen)
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
37 666 Ft
In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concept...

Információk a könyvről

Szerző
Mike Crampin, David Saunders
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2016
oldal
290
EAN
9789462391918
ISBN
9462391912
Enbook ID
02926511
Kiadó
Atlantis Press (Zeger Karssen)
Súly
5797
Méretek
155 x 235 x 23

Teljes leírás

In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit.§§ We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties.

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