Riemannian Geometry in an Orthogonal Fra

Goldberg, V; Cartan, Elie

Published by World Scientific Publishing Company, 2001
ISBN 10: 981024746X / ISBN 13: 9789810247461
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Synopsis: 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.

Language Notes: Text: English (translation)
Original Language: Russian

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Title: Riemannian Geometry in an Orthogonal Fra
Publisher: World Scientific Publishing Company
Publication Date: 2001
Binding: Hardcover
Book Condition: Used: Good

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Book Description 2001. Hardcover. Book Condition: New. Hardcover. Elie Cartan's book Geometry of Riemannian Manifolds (1928) was one of the best introductions to his methods. It was based on lectures given by the author at the Sorbonne in th.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 280 pages. 0.562. Bookseller Inventory # 9789810247461

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2002. Hardback. Book Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # BTE9789810247461

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