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Riemannian Geometry

Chapter
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Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 102)

Abstract

Gaussian surface theory, treated in Chapter V, is relative insofar as the surface metric, which changes from point to point, is induced by the metric of the surrounding higher dimensional euclidean space. For Gauss, however, the crucial point was to construct a theory of surfaces “from the inside out”, so to speak, using only concepts that relate to the surface itself, ignoring its embedding in a higher dimensional space.

Keywords

Riemannian Geometry Translation Operator Covariant Vector Parallel Translation Chapter Versus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  1. 1.Department of Mathematics, UniversityHelsinkiFinland

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