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riemannian geometry

 

Definitions from WordNet

Noun riemannian geometry has 1 sense
  1. elliptic geometry, Riemannian geometry - a non-Euclidean geometry that regards space is like a sphere and a line is a great circle
    --1 is a kind of non-Euclidean geometry

Definitions from the Web

Riemannian Geometry:

Riemannian Geometry is a branch of mathematics that focuses on the study of curved surfaces and manifolds. It is named after the German mathematician Bernhard Riemann, who made important contributions to this field. Riemannian Geometry provides a framework for understanding the properties of geometric objects using techniques from calculus and linear algebra.

Example sentences:

  1. Studying Riemannian Geometry helped the mathematicians analyze the curvature of a sphere.
  2. In Riemannian Geometry, the concept of geodesics is used to find the shortest paths between points on a curved space.
  3. Riemannian Geometry plays a vital role in the theory of general relativity, where it describes the behavior of spacetime in the presence of mass and energy.

Possible related products on Amazon:

1. Riemannian Geometry Textbook
2. Introduction to Riemannian Geometry
3. Applications of Riemannian Geometry

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