Riemannian Geometry in an Orthogonal....
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Book Overview Foreword by S SChern In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used ex...
Foreword by S SChern
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.
Book Details Format: Paperback | Pages: 259 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9810247478
FormatPaperback
Pages259
LanguageEnglish
ISBN9810247478
EAN9789810247478
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
EditionIllustrated
AccessoriesNo Accessory
ConditionNew
Product TypeQUALITY PAPERBACK BOOKS
Weight0.9 Pounds
Length8.9 Inches
Width6.0 Inches
Height0.6 Inches
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