Book contents
- Frontmatter
- Contents
- Preface to the second edition
- Introduction
- PART A Prelude and themes: Synthetic methods and results
- PART B Development: Differential geometry
- 5 Curves in the plane
- 6 Curves in space
- 7 Surfaces
- 8 Curvature for surfaces
- 9 Metric equivalence of surfaces
- 10 Geodesics
- 11 The Gauss–Bonnet Theorem
- 12 Constant-curvature surfaces
- PART C Recapitulation and coda
- Riemann's Habilitationsvortrag: On the hypotheses which lie at the foundations of geometry
- Solutions to selected exercises
- Bibliography
- Symbol index
- Name index
- Subject index
9 - Metric equivalence of surfaces
Published online by Cambridge University Press: 05 November 2012
- Frontmatter
- Contents
- Preface to the second edition
- Introduction
- PART A Prelude and themes: Synthetic methods and results
- PART B Development: Differential geometry
- 5 Curves in the plane
- 6 Curves in space
- 7 Surfaces
- 8 Curvature for surfaces
- 9 Metric equivalence of surfaces
- 10 Geodesics
- 11 The Gauss–Bonnet Theorem
- 12 Constant-curvature surfaces
- PART C Recapitulation and coda
- Riemann's Habilitationsvortrag: On the hypotheses which lie at the foundations of geometry
- Solutions to selected exercises
- Bibliography
- Symbol index
- Name index
- Subject index
Summary
- Type
- Chapter
- Information
- Geometry from a Differentiable Viewpoint , pp. 171 - 184Publisher: Cambridge University PressPrint publication year: 2012