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Differential Geometry of Surfaces

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Introduction to Hyperbolic Geometry

Part of the book series: Universitext ((UTX))

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Abstract

This chapter is intended to help the reader learn some of the concepts of differential geometry as they appear in terms of coordinates and also to move toward thinking of them in intrinsic terms (‘coordinate free’), which is the modern approach to differential geometry. Our primary interest is in the hyperbolic plane as a Riemannian manifold.

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© 1995 Springer Science+Business Media New York

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Ramsay, A., Richtmyer, R.D. (1995). Differential Geometry of Surfaces. In: Introduction to Hyperbolic Geometry. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5585-5_6

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  • DOI: https://doi.org/10.1007/978-1-4757-5585-5_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94339-8

  • Online ISBN: 978-1-4757-5585-5

  • eBook Packages: Springer Book Archive

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