Riemann’s Higher-Dimensional Geometry

Raymond O. Wells ()
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Raymond O. Wells: University of Colorado Boulder

Chapter Chapter 5 in Differential and Complex Geometry: Origins, Abstractions and Embeddings, 2017, pp 59-69 from Springer

Abstract: Abstract In 1854 Riemann formulated the concept of a higher-dimensional manifold as well as the important notion of a Riemannian metric on such a manifold. This generalized the work of Gauss to higher dimensions and became the mathematical beginning of the study of manifolds as geometrical objects as well as the foundation of a theory of geometry on such manifolds.

Date: 2017
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DOI: 10.1007/978-3-319-58184-2_5

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