Local Properties of Surfaces

  • Laurent YounesEmail author
Part of the Applied Mathematical Sciences book series (AMS, volume 171)


This chapter introduces basic definitions and properties on the theory of surfaces and provides a fundamental background for the study of shapes in three dimensions. It presents several results on the local differential geometry of such objects, including metric properties and integration. Some of these elements are special cases of the abstract discussion of submanifolds in Appendix B, but are given here a more elementary presentation to ensure that this important material can be read independently.

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Center for Imaging ScienceJohns Hopkins UniversityBaltimoreUSA

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