Compact projective planes : with an introduction to octonion geometry / by Helmut Salzmann ... [et al.].

Format:

Book

Contributor:

Salzmann, H.

Series:

De Gruyter expositions in mathematics ; 0938-6572 21.

De Gruyter expositions in mathematics, 0938-6572 ; 21

Language:

English

Subjects (All):

Projective planes.

Geometry, Projective.

Physical Description:

xiii, 688 p. : ill.

Edition:

Reprint 2011

Place of Publication:

Berlin ; New York : Walter de Gruyter, 1995.

Language Note:

English

Summary:

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair , Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann , Columbia University, New York, USA Markus J. Pflaum , University of Colorado, Boulder, USA Dierk Schleicher , Jacobs University, Bremen, Germany Katrin Wendland , University of Freiburg, Germany Honorary Editor Victor P. Maslov , Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups , Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Contents:

Frontmatter

Preface

Contents

Chapter 1 The classical planes

Chapter 2 Background on planes, coordinates and collineations

Chapter 3 Geometries on surfaces

Chapter 4 Compact projective planes

Chapter 5 Algebraic topology of compact, connected planes

Chapter 6 Homogeneity

Chapter 7 Four-dimensional planes

Chapter 8 Eight- and sixteen-dimensional planes

Chapter 9 Appendix: Tools from topology and Lie theory

Bibliography

Notation

Index

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. [643]-677) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110876833

3110876833

OCLC:

979907145