Riemannian Geometry In An Orthogonal Frame

3 avg rating
( 1 ratings by Goodreads )
 
9789810247478: Riemannian Geometry In An Orthogonal Frame
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

Synopsis:

Elie Cartan's book "Geometry of Riemannian Manifolds" (1928) was one of the best introductions to his methods. It was based on lectures given by the author at the Sorbonne in the academic year 1925-26. A modernized and extensively augmented edition appeared in 1946 (2nd printing, 1951; 3rd printing, 1988). Cartan's lectures in 1926-27 were different - he introduced exterior forms at the very beginning and used 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. The lectures were translated into Russian in the book "Riemannian Geometry in an Orthogonal Frame" (1960). 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 fibre bundle of a submanifold, and so on. This book was available neither in English nor in French. 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 edited the Russian edition.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9789810247461: Riemannian Geometry In An Orthogonal Frame

Featured Edition

ISBN 10:  981024746X ISBN 13:  9789810247461
Publisher: World Scientific Publishing Co P..., 2001
Hardcover

Top Search Results from the AbeBooks Marketplace

1.

Cartan, Elie
Published by World Scientific Pub Co Inc (2002)
ISBN 10: 9810247478 ISBN 13: 9789810247478
New Paperback Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description World Scientific Pub Co Inc, 2002. Paperback. Condition: New. Never used!. Seller Inventory # P119810247478

More information about this seller | Contact this seller

Buy New
46.26
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

E. Cartan
Published by World Scientific Pub Co Inc (2002)
ISBN 10: 9810247478 ISBN 13: 9789810247478
New Softcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description World Scientific Pub Co Inc, 2002. Condition: New. book. Seller Inventory # M9810247478

More information about this seller | Contact this seller

Buy New
55.19
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

3.

E. Cartan
ISBN 10: 9810247478 ISBN 13: 9789810247478
New Quantity Available: 1
Seller:
BennettBooksLtd
(San Diego, CA, U.S.A.)
Rating
[?]

Book Description Condition: New. New. Seller Inventory # S-9810247478

More information about this seller | Contact this seller

Buy New
61.82
Convert Currency

Add to Basket

Shipping: 3.73
Within U.S.A.
Destination, Rates & Speeds

4.

Cartan, Elie/ Goldberg, Vladislav V. (Translator)/ Chern, S. S. (Foreward By)
Published by World Scientific Pub Co Inc (2002)
ISBN 10: 9810247478 ISBN 13: 9789810247478
New Paperback Quantity Available: 1
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description World Scientific Pub Co Inc, 2002. Paperback. Condition: Brand New. 300 pages. 8.75x6.00x0.50 inches. In Stock. Seller Inventory # 9810247478

More information about this seller | Contact this seller

Buy New
65.91
Convert Currency

Add to Basket

Shipping: 7.50
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

E. Cartan
Published by World Scientific Pub Co Inc
ISBN 10: 9810247478 ISBN 13: 9789810247478
New PAPERBACK Quantity Available: 1
Seller:
Cloud 9 Books
(Wellington, FL, U.S.A.)
Rating
[?]

Book Description World Scientific Pub Co Inc. PAPERBACK. Condition: New. 9810247478 New Condition. Seller Inventory # NEW7.1801743

More information about this seller | Contact this seller

Buy New
81.47
Convert Currency

Add to Basket

Shipping: 3.76
Within U.S.A.
Destination, Rates & Speeds

6.

Vladislav V Goldberg and Shiing-Shen Chern
Published by World Scientific Publishing Company (2001)
ISBN 10: 9810247478 ISBN 13: 9789810247478
New Paperback Quantity Available: 1
Seller:
Books Express
(Portsmouth, NH, U.S.A.)
Rating
[?]

Book Description World Scientific Publishing Company, 2001. Paperback. Condition: New. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 9810247478n

More information about this seller | Contact this seller

Buy New
156.07
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds