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Riemannian Geometry in an Orthogonal Frame
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Riemannian Geometry in an Orthogonal Frame Paperback - 2001

by Vladislav V. Goldberg (Translator); Foreword by Shiing-Shen Chern


From the publisher

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.

First line

1. Components of an infinitesimal displacement. Consider an ordinary three-dimensional Euclidean space.

Details

  • Title Riemannian Geometry in an Orthogonal Frame
  • Author Vladislav V. Goldberg (Translator); Foreword by Shiing-Shen Chern
  • Binding Paperback
  • Edition First edition
  • Pages 280
  • Volumes 1
  • Language ENG
  • Publisher World Scientific Publishing Company, New Jersey
  • Date 2001-12-11
  • Features Index, Table of Contents
  • ISBN 9789810247478 / 9810247478
  • Weight 0.9 lbs (0.41 kg)
  • Dimensions 8.9 x 6 x 0.6 in (22.61 x 15.24 x 1.52 cm)
  • Library of Congress Catalog Number 2002277436
  • Dewey Decimal Code 516.3
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Riemannian Geometry In An Orthogonal Frame
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Riemannian Geometry In An Orthogonal Frame

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Riemannian Geometry In An Orthogonal Frame
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Riemannian Geometry In An Orthogonal Frame

by E. Cartan

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Riemannian Geometry in an Orthogonal Frame: From Lectures Delivered by Elie Cartan at the...
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Riemannian Geometry in an Orthogonal Frame: From Lectures Delivered by Elie Cartan at the Sorbonne in 1926-27

by Cartan, Elie/ Goldberg, Vladislav V. (Translator)/ Chern, S. S. (Foreward By)

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Riemannian Geometry in an Orthogonal Frame

Goldberg, Vladislav V, Chern, Shiing-Shen

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RIEMANNIAN GEOMETRY IN AN ORTHOGONAL FRAME
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RIEMANNIAN GEOMETRY IN AN ORTHOGONAL FRAME

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