Riemannian geometry

noun
Rie·​mann·​ian geometry | \ rē-ˈmä-nē-ən- How to pronounce Riemannian geometry (audio) \

Definition of Riemannian geometry

: a non-Euclidean geometry in which straight lines are geodesics and in which the parallel postulate is replaced by the postulate that every pair of straight lines intersects

First Known Use of Riemannian geometry

1896, in the meaning defined above

History and Etymology for Riemannian geometry

German F. B. Riemann

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The first known use of Riemannian geometry was in 1896

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