riemannian geometry in English
noun
1
a form of differential non-Euclidean geometry developed by Riemann, used to describe curved space. It provided Einstein with a mathematical basis for his general theory of relativity.
His interests had turned away from affine and projective differential geometry and turned towards Riemannian geometry .
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Below are sample sentences containing the word "riemannian geometry" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "riemannian geometry", or refer to the context using the word "riemannian geometry" in the English Dictionary.
1. In 1880 he became a lecturer of mathematics at the University of Padua where he dealt with Riemannian geometry and differential quadratic forms.
2. In particular, when M is a (pseudo-)Riemannian manifold and ∇ is the Levi-Civita connection, then the affine geodesic are the usual geodesics of Riemannian geometry and are the locally distance minimizing curves.