What does Riemannian mean?
Definitions for Riemannian
rie·mann·ian
This dictionary definitions page includes all the possible meanings, example usage and translations of the word Riemannian.
Princeton's WordNet
Riemannianadjective
of or relating to Riemann's non-Euclidean geometry
Wiktionary
Riemannianadjective
Relating to the branch of geometry inspired by .
Etymology: From Riemann
ChatGPT
riemannian
A Riemannian geometry is a type of differential geometry that is named after the German mathematician Bernhard Riemann. It deals with Riemannian manifolds, which are smooth manifolds (spaces that locally resemble Euclidean space) equipped with Riemannian metric, a mathematical structure that describes how to compute the distance between any two points. A Riemannian metric provides each tangent space of the manifold with an inner product (a positive-definite symmetric bilinear form) in a manner that varies smoothly from point to point. This gives the manifold the structure of a real and finite-dimensional inner product space. This allows lengths of curves to be defined, as well as angles and areas, leading to a very rich structure known as a Riemannian manifold. This forms the fundamental basis upon which general relativity and much of modern geometry is based.
Numerology
Chaldean Numerology
The numerical value of Riemannian in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of Riemannian in Pythagorean Numerology is: 8
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"Riemannian." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/Riemannian>.
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