Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which ...
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Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces g???n???ralis???s" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry.
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Add this copy of Differential Geometry to cart. $55.78, new condition, Sold by Educational Media Centre rated 4.0 out of 5 stars, ships from New Delhi, DELHI, INDIA, published 1997 by Springer.
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Add this copy of Differential Geometry: Cartan's Generalization of Klein to cart. $124.87, new condition, Sold by Just one more Chapter rated 4.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1997 by Springer.
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