Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at the Sorbonne in 1926-1927 /

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Bibliographic Details
Author / Creator:Cartan, Elie, 1869-1951.
Uniform title:Rimanova geometrii͡a v ortogonalʹnom repere. English
Imprint:River Edge, NJ : World Scientific, c2001.
Description:xvii, 259 p. : ill. ; 23 cm.
Language:English
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4616452
Hidden Bibliographic Details
Other authors / contributors:Finikov, S. P. (Sergeĭ Pavlovich), 1883-1964
ISBN:981024746X
9810247478 (pbk)
Notes:Translated from the 1960 Russian ed., which was translated and edited from original lecture notes by S.P. Finikov as, Rimanova geometriya v orthogonalʹnom repere.
Includes bibliographical references and index.

MARC

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240 1 0 |a Rimanova geometrii͡a v ortogonalʹnom repere.  |l English 
245 1 0 |a Riemannian geometry in an orthogonal frame :  |b from lectures delivered by Élie Cartan at the Sorbonne in 1926-1927 /  |c translated from Russian by Vladislav V. Goldberg ; foreword by S. S. Chern. 
260 |a River Edge, NJ :  |b World Scientific,  |c c2001. 
300 |a xvii, 259 p. :  |b ill. ;  |c 23 cm. 
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500 |a Translated from the 1960 Russian ed., which was translated and edited from original lecture notes by S.P. Finikov as, Rimanova geometriya v orthogonalʹnom repere. 
504 |a Includes bibliographical references and index. 
505 0 0 |t Method of Moving Frames --  |t The Theory of Pfaffian Forms --  |t Integration of Systems of Pfaffian Differential Equations --  |t Generalization --  |t The Existence Theorem for a Family of Frames with Given Infinitesimal Components w[superscript i] and w[superscript i][subscript j] --  |t The Fundamental Theorem of Metric Geometry --  |t Vector Analysis in an n-Dimensional Euclidean Space --  |t The Fundamental Principles of Tensor Algebra --  |t Tensor Analysis --  |t The Notion of a Manifold --  |t Locally Euclidean Riemannian Manifolds --  |t Euclidean Space Tangent at a Point --  |t Osculating Euclidean Space --  |t Euclidean Space of Conjugacy Along a Line --  |t Space with a Euclidean Connection --  |t Riemannian Curvature of a Manifold --  |t Spaces of Constant Curvature --  |t Geometric Construction of a Space of Constant Curvature --  |t Variational Problems for Geodesics --  |t Distribution of Geodesics Near a Given Geodesic --  |t Geodesic Surfaces --  |t Lines in a Riemannian Manifold --  |t Surfaces in a Three-Dimensional Riemannian Manifold --  |t Forms of Laguerre and Darboux --  |t p-Dimensional Submanifolds in a Riemannian Manifold of n Dimensions. 
650 0 |a Geometry, Riemannian.  |0 http://id.loc.gov/authorities/subjects/sh85054159 
650 7 |a Geometry, Riemannian.  |2 fast  |0 http://id.worldcat.org/fast/fst00940940 
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