Lie Sphere Geometry With Applications to Submanifolds
Lie Sphere Geometry provides a modern treatment of Lie's geometry of spheres, its recent applications and the study of Euclidean space. This book begins with Lie's construction of the space of spheres, including the fundamental notions of oriented contact
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J.H. Ewing F.W. Gehring P.R. Halmos
Universitext Editors (North America): J.H. Ewing, F.W. Gehring, and P.R. Halmos Aupetlt: A Primer on Spectral Theory Aksoy/Khamsi: Nonstandard Methods in Fixed Point Theory Aupetlt: A Primer on Spectral Theory Berger: Geometry I, II (two volumes) Bliedtner/Hansen: Potential Theory Bloss/Bleeker: Topology and Analysis Cecil: Lie Sphere Geometry: With Applications to Submanifolds Chandrasekharan: Classical Fourier Transforms Charlap: Bierbach Groups and Flat Manifolds Chern: Complex Manifolds Without Potential Theory Cohn: A Classical Invitation to Algebraic Numbers and Class Fields Curtis: Abstract Linear Algebra Curtis: Matrix Groups van Dalen: Logic and Structure Devlin: Fundamentals of Contemporary Set Theory Edwards: A Formal Background to Mathematics I alb Edwards: A Formal Background to Mathematics II alb Foulds: Graph Theory Applications Emery: Stochastic Calculus Fukhs/Rokhlin: Beginner's Course in Topology Frauenthal: Mathematical Modeling in Epidemiology Ga\lot/Hulin/Lafontalne: Riemannian Geometry Gardiner: A First Course in Group Theory G6rdinWTambour: Algebra for Computer Science Godbillon: Dynamical Systems on Surfaces Goldblatt: Orthogonality and Spacetime Geometry Huml/Miller: Second Course in Order Ordinary Differential Equations Hurwitz/Krltkos: Lectures on Number Theory Jones/Morris/Pearson: Abstract Algebra and Famous Impossibilities Iverson: Cohomology of Sheaves Kelly/Matthews: The Non-Euclidean Hyperbolic Plain Kempf: Complex Abelian Varieties and Theta Functions Kostrikln: Introduction to Algebra KrasnoselsklilPekrovskll: Systems with Hypsteresis Luecklng/Rubel: Complex Analysis: A Functional Analysis Approach MacLane/Moerdijk: Sheaves in Geometry and Logic Marcus: Number Fields McCarthy: Introduction to Arithmetical Functions Meyer: Essential Mathematics for Applied Fields Mines/Rlchman/Rultenburg: A Course in Constructive Algebra Moise: Introductory Problem Course in Analysis and Topology Monteslnos: Classical Tessellations and Three Manifolds Nikulln/Shafarevlch: Geometries and Group 0skendal: Stochastic Differential Equations Rees: Notes on Geometry (colltillued after illdex)
Thomas E. Cecil
Lie Sphere Geometry With Applications to Submanifolds
With 14 Illustrations
Springer Science+Business Media, LLC
Thomas E. Cecil Department of Mathematics College of the Holy Cross Worcester, MA 01610 USA
Editorial Board (North America): F. W. Gehring Department of Mathematics University of Michigan Ann Arbor, MI 48109 USA
J.H. Ewing Department of Mathematics Indiana University Bloomington, IN 47405 USA P.R. Halmos Department of Mathematics Santa Clara University Santa Clara, CA 95053 USA
Mathematics Subject Classifications (1980): 53C42, 53A07, 53A20
Library of Congress Cataloging-in-Publication Data Cecil, T. E.(Thomas E.) Lie sphere geometry: with application to submanifoldslThomas E. Cecil. p. cm. -(Universitext) Includes bibliographical references and index. 1. Geometry, Differential. II. Series. QA649.C42 1992 516.3'6-dc20
2. Submanifolds . I. Ti
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