Orthogonality and Spacetime Geometry
This book examines the geometrical notion of orthogonality, and shows how to use it as the primitive concept on which to base a metric structure in affine geometry. The subject has a long history, and an extensive literature, but whatever novelty there ma
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F.W. Gehring P.R. Halmos
Universitext Editors: F,W, Gehring, P,R, Halmos
Booss/Bleecker: Topology and Analysis Charlap: Bieberbach Groups and Flat Manifolds Chern: Complex Manifolds Without Potential Theory Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics Cohn: A Classical Invitation to Algebraic Numbers and Class Fields Curtis: Matrix Groups, 2nd ed, van Dalen: Logic and Structure Devlin: Fundamentals of Contemporary Set Theory Edwards: A Formal Background to Mathematics I alb Edwards: A Formal Background to Higher Mathematics II alb Endler: Valuation Theory Frauenthal: Mathematical Modeling in Epidemiology Gardiner: A First Course in Group Theory Godbillon: Dynamical Systems on Surfaces Goldblatt: Orthogonality and Spacetime Geometry Greub: Multilinear Algebra Hermes: Introduction to Mathematical Logic Hurwitz/Kritikos: Lectures on Number Theory Kelly/Matthews: The Non-Euclidean, The Hyperbolic Plane Kostrikin: Introduction to Algebra Luecking/Rubel: Complex Analysis: A Functional Analysis Approach Lu: Singularity Theory and an Introduction to Catastrophe Theory Marcus: Number Fields McCarthy: Introduction to Arithmetical Functions Meyer: Essential Mathematics for Applied Fields Moise: Introductory Problem Course in Analysis and Topology 0ksendal: Stochastic Differential Equations Porter/Woods: Extensions of Hausdorff Spaces Rees: Notes on Geometry Reisel: Elementary Theory of Metric Spaces Rey: Introduction to Robust and Quasi-Robust Statistical Methods Rickart: Natural Function Algebras Schreiber: Differential Forms Smith: Power Series from a Computational Point of View Smorynski: Self-Reference and Modal Logic Stanisic: The Mathematical Theory of Turbulence Stroock: An Introduction to the Theory of Large Deviations Sunder: An Invitation to von Neumann Algebras Tolle: Optimization Methods
Robert Goldblatt
Orthogonality and Spacetime Geometry With 126 Illustrations
Springer-Verlag New York Berlin Heidelberg London Paris Tokyo
Robert Goldblatt Department of Mathematics Victoria University Private Bag, Wellington New Zealand
AMS Classification: 53-01, 53-B30 Library of Congress Cataloging in Publication Data Goldblatt, Robert. Orthogonality and spacetime geometry. (Universitext) Bibliography: p. Includes index. \. Geometry, Affine. 2. Space and time. 3. Functions, Orthogonal. I. Title. 516'.4 87-4941 QA477.G65 1987
© 1987 by Springer-Verlag New York Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag, 175 Fifth Avenue, New York, New York 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc. in this publication, even if the former are not especially identified, is not to be taken as a sign that
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