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Non-Riemannian Geometry
Our Price:$12.95
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Environment:Made in USA
Author/Editor: Luther Pfahler Eisenhart
ISBN 10:0486442438
Product Info:Details, Table of Contents
Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths developed by the author, Luther Pfahler Eisenhart, and Oswald Veblen, who were faculty colleagues at Princeton University during the early twentieth century. Eisenhart played an active role in developing ...  read more
 


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Product Description:

Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths developed by the author, Luther Pfahler Eisenhart, and Oswald Veblen, who were faculty colleagues at Princeton University during the early twentieth century. Eisenhart played an active role in developing Princeton's preeminence among the world's centers for mathematical study, and he is equally renowned for his achievements as a researcher and an educator.
In Riemannian geometry, parallelism is determined geometrically by this property: along a geodesic, vectors are parallel if they make the same angle with the tangents. In non-Riemannian geometry, the Levi-Civita parallelism imposed a priori is replaced by a determination by arbitrary functions (affine connections). In this volume, Eisenhart investigates the main consequences of the deviation.
Starting with a consideration of asymmetric connections, the author proceeds to a contrasting survey of symmetric connections. Discussions of the projective geometry of paths follow, and the final chapter explores the geometry of sub-spaces.
Unabridged republication of the edition published by the American Mathematical Society, New York, 1927.
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Product Details:

ISBN 10: 0486442438
ISBN 13: 9780486442433
Author/Editor: Luther Pfahler Eisenhart
Page Count: 192
Dimensions: 5 3/8 x 8 1/2
Publication date: June 2005
Table of Contents: Click here to view the Table of Contents

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