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Doubly Timelike Surfaces.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1969Copyright date: ©1969Edition: 1st edDescription: 1 online resource (121 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470400422
Subject(s): Genre/Form: Additional physical formats: Print version:: Doubly Timelike SurfacesLOC classification:
  • QA611.28.B44 1969
Online resources:
Contents:
Intro -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL G-SPACES -- 1. Timelike Metrics -- 2. General G-Spaces -- 3. Two Dimensional Spaces -- 4. Covering Spaces -- 5. Motions -- 6. Example. Exterior Hyperbolic Geometry -- CHAPTER II: MINKOWSKI SPACES -- 1. Preliminary Results -- 2. Isometries of Minkowski Spaces -- 3. Perpendicularity -- 4. Pairwise Transitive Mobility -- CHAPTER III: DOUBLY TIMELIKE SURFACES -- 1. Null Boxes -- 2. Translations -- 3. Zero Curvature -- 4. Curves and Arclength -- 5. Convex Curves -- 6. Differentiability -- CHAPTER IV: PLANES AND PATH-UNIQUE SPACES -- 1. Doubly Timelike Planes -- 2. Path-Unique Doubly Timelike Surfaces -- CHAPTER V: STRAIGHT PLANES -- 1. The Grid-Representation of a Straight Plane -- 2. Perpendiculars and Asymptotes in a Straight Plane -- 3. Limit Circles in a Straight Plane -- 4. Parallels in a Straight Plane -- CHAPTER VI: FLAT BISECTORS -- 1. Bisectors with Flat Subsets -- 2. Angles -- 3. Lambert Quadrangles -- 4. Equidistant Curves -- 5. The Pythagorean Theorem.
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Intro -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL G-SPACES -- 1. Timelike Metrics -- 2. General G-Spaces -- 3. Two Dimensional Spaces -- 4. Covering Spaces -- 5. Motions -- 6. Example. Exterior Hyperbolic Geometry -- CHAPTER II: MINKOWSKI SPACES -- 1. Preliminary Results -- 2. Isometries of Minkowski Spaces -- 3. Perpendicularity -- 4. Pairwise Transitive Mobility -- CHAPTER III: DOUBLY TIMELIKE SURFACES -- 1. Null Boxes -- 2. Translations -- 3. Zero Curvature -- 4. Curves and Arclength -- 5. Convex Curves -- 6. Differentiability -- CHAPTER IV: PLANES AND PATH-UNIQUE SPACES -- 1. Doubly Timelike Planes -- 2. Path-Unique Doubly Timelike Surfaces -- CHAPTER V: STRAIGHT PLANES -- 1. The Grid-Representation of a Straight Plane -- 2. Perpendiculars and Asymptotes in a Straight Plane -- 3. Limit Circles in a Straight Plane -- 4. Parallels in a Straight Plane -- CHAPTER VI: FLAT BISECTORS -- 1. Bisectors with Flat Subsets -- 2. Angles -- 3. Lambert Quadrangles -- 4. Equidistant Curves -- 5. The Pythagorean Theorem.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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