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Riemannian Geometry in an Orthogonal Frame : From Lectures Delivered by Elie Cartan at the Sorbonne in 1926-1927 by S. P. Finikov and Elie Cartan (Trade Paperback)

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About this product

Product Identifiers

PublisherWorld Industries Scientific Publishing Co Pte LTD

ISBN-109810247478

ISBN-139789810247478

eBay Product ID (ePID)2254325

Product Key Features

Number of Pages280 Pages

LanguageEnglish

Publication NameRiemannian Geometry in an Orthogonal Frame : From Lectures Delivered by Elie Cartan at the Sorbonne in 1926-1927

SubjectGeometry / Non-Euclidean, Geometry / Analytic

TypeTextbook

AuthorS. P. Finikov, Elie Cartan

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Weight14.4 Oz

Additional Product Features

Intended AudienceCollege Audience

LCCN2002-277436

Dewey Edition21

IllustratedYes

Dewey Decimal516.3/73

SynopsisForeword 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.

LC Classification NumberQA649.C3413 2001