Natural Operations in Differential Geometry, Ivan Kolar; Peter W. Michor; Jan Slovak

Автор: Ivan Kolar; Peter W. Michor; Jan Slovak
Название: Natural Operations in Differential Geometry
ISBN: 3540562354 ISBN-13(EAN): 9783540562351
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Natural operators and operations are an area of differential geometry closely related to problems in theoretical physics. This monograph provides a unified presentation of the research literature on the subject, and contains a detailed bibliography.

Автор: Tu, Loring W.
Название: Differential Geometry
ISBN: 3319550829 ISBN-13(EAN): 9783319550824
Издательство: Springer
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Цена: 8943.00 р.
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Описание: Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein`s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory.

Автор: Sharpe
Название: Differential Geometry
ISBN: 0387947329 ISBN-13(EAN): 9780387947327
Издательство: Springer
Цена: 8378.00 р.
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Описание: 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 generalises" (= 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.