Andere Kunden interessierten sich auch für
![Calabi-Yau Manifolds and Related Geometries]( "Calabi-Yau Manifolds and Related Geometries")
Calabi-Yau Manifolds and Related Geometries61,99 €![Finslerian Geometries]( "Finslerian Geometries")
Finslerian Geometries83,99 €![Complex Spaces in Finsler, Lagrange and Hamilton Geometries]( "Complex Spaces in Finsler, Lagrange and Hamilton Geometries")
Complex Spaces in Finsler, Lagrange and Hamilton Geometries74,99 €![Topics in Modern Differential Geometry]( "Topics in Modern Differential Geometry")
Topics in Modern Differential Geometry95,99 €![Symmetries of Spacetimes and Riemannian Manifolds]( "Symmetries of Spacetimes and Riemannian Manifolds")
Symmetries of Spacetimes and Riemannian Manifolds64,99 €![Non-Euclidean Geometries]( "Non-Euclidean Geometries")
Non-Euclidean Geometries125,99 €![Differential Geometry of Curves and Surfaces]( "Differential Geometry of Curves and Surfaces")
Differential Geometry of Curves and Surfaces49,99 €
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.
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.
"The authors expose an alternative approach to Cartan geometries. ... the book offers a nice exposition of the approach to Cartan geometries via Lie algebroids, one also has to say that, apart from the approach, the book remains in quite well-known territory." (Andreas Cap, Mathematical Reviews, April 2017)