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Publication details

Publisher: Springer

Place: Berlin

Year: 2017

Pages: 541-570

ISBN (Hardback): 9783319600383

Full citation:

Marc Mars, "On local characterization results in geometry and gravitation", in: From Riemann to differential geometry and relativity, Berlin, Springer, 2017

Abstract

An important problem in differential geometry and in gravitation is to identify metrics in a fully coordinate independent manner. In fact, the very foundation of Riemannian geometry is based on the existence of a tensor, the Riemann or curvature tensor, which vanishes if and only if the metric is locally flat. Many other such local characterizations of metrics are known. The aim of this article is to present a brief selection of them as an example of the fruitful interplay between differential geometry and gravity.

Publication details

Publisher: Springer

Place: Berlin

Year: 2017

Pages: 541-570

ISBN (Hardback): 9783319600383

Full citation:

Marc Mars, "On local characterization results in geometry and gravitation", in: From Riemann to differential geometry and relativity, Berlin, Springer, 2017