Riemannian Geometry in an Orthogonal Frame : From Lectures Delivered by Elie Cartan at the Sorbonne in 1926-1927. Questo articolo non è disponibile.
Lingua: inglese
Editore: World Scientific Publishing Co Pte Ltd, 2001
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Codice articolo 68202525-6
- Titolo
- Riemannian Geometry in an Orthogonal Frame : From Lectures Delivered by Elie Cartan at the Sorbonne in 1926-1927
- Autore
- Finikov, S. P., Cartan, Elie
- Editore
- World Scientific Publishing Co Pte Ltd
- Anno di pubblicazione
- 2001
- Condizione
- Very Good
- Rilegatura
- Brossura
- Lingua
- inglese
- ISBN 10
- 9810247478
- ISBN 13
- 9789810247478
- Peso dell'articolo
- 0,9 libbre
- Dimensioni
- N/A
Foreword by S S Chern
In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics. In 1960, Sergei P Finikov translated from French into Russian his notes of these Cartan's lectures and published them as a book entitled Riemannian Geometry in an Orthogonal Frame. This book has many innovations, such as the notion of intrinsic normal differentiation and the Gaussian torsion of a submanifold in a Euclidean multidimensional space or in a space of constant curvature, an affine connection defined in a normal fiber bundle of a submanifold, etc. It has now been translated into English by Vladislav V Goldberg, currently Distinguished Professor of Mathematics at the New Jersey Institute of Technology, USA, who also edited the Russian edition.
In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics. In 1960, Sergei P Finikov translated from French into Russian his notes of these Cartan's lectures and published them as a book entitled Riemannian Geometry in an Orthogonal Frame. This book has many innovations, such as the notion of intrinsic normal differentiation and the Gaussian torsion of a submanifold in a Euclidean multidimensional space or in a space of constant curvature, an affine connection defined in a normal fiber bundle of a submanifold, etc. It has now been translated into English by Vladislav V Goldberg, currently Distinguished Professor of Mathematics at the New Jersey Institute of Technology, USA, who also edited the Russian edition.
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