Riemannian Geometry in an Orthogonal Frame.

Cartan, Élie and Vladislav Goldberg:

ISBN 10: 9810247478 / ISBN 13: 9789810247478

Published by New Jersey: World Scientific, 2001

About this Item

xvii 259p paper back, blue binding with illustration to front cover, a fresh and clean copy, no names or stamps, no traces of use, excellent condition, like new Language: English.

Seller Inventory # 232795

Bibliographic Details

• Title: Riemannian Geometry in an Orthogonal Frame.
• Publisher: New Jersey: World Scientific
• Publication Date: 2001
• Language: English
• ISBN 10: 9810247478
• ISBN 13: 9789810247478
• Binding: Paperback
• Edition: 1st Edition
• Condition: As New
• Seller catalogs:
  • Mathematics

About this title

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