Riemannian Geometry

Pronunciation: /ˈriˌmɑn.i.ən dʒiˈɒ.mɪ.tri/ Explain

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Riemannian geometry is a non-Euclidean geometry. It can be visualized as taking place on the surface of a sphere. In Riemannian geometry, lines are the great circles on the sphere. As a consequence, every pair of distinct lines intersect in Riemannian geometry. The points of intersection are antipodal, are diametrically opposed.

Riemannian geometry is also called Elliptic Geometry.


  1. Riemannian geometry. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 12/4/2018. http://www.merriam-webster.com/dictionary/Riemannian geometry. Buy the book

More Information

  • Euclid of Alexandria. Elements. Clark University. 9/6/2018. https://mathcs.clarku.edu/~djoyce/elements/elements.html.

Cite this article as:

McAdams, David E. Riemannian Geometry. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/riemanniangeometry.html.

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Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/5/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra app. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
12/17/2008: Initial version. (McAdams, David E.)

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