RIEMANNIAN GEOMETRY IN AN ORTHOGONAL FRAME - Softcover

Softcover

ISBN 10: 9810247478 ISBN 13: 9789810247478

Publisher: World Scientific Publishing Company, 2001

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.

About this title

Language Notes

Text: English (translation)
Original Language: Russian

Review

The reviewer expresses his hearty appreciation to the authors for their utmost endeavor of translating E Cartan's ever valuable lectures. -- Zentralblatt fur Mathematik

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2001
• Language: English
• ISBN 10: 9810247478
• ISBN 13: 9789810247478
• Binding: Paperback
• Number of pages: 280