Definitions for riemannian manifold
rie·mann·ian man·i·fold

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1. Riemannian manifoldnoun

   in Riemannian geometry, a real differentiable manifold M in which each tangent space is equipped with an inner product g, a Riemannian metric, in a manner which varies smoothly from point to point.

2. Etymology: Riemannian + manifold

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1. Riemannian manifold

   In differential geometry, a Riemannian manifold or Riemannian space is a real smooth manifold M equipped with an inner product on the tangent space at each point that varies smoothly from point to point in the sense that if X and Y are vector fields on M, then is a smooth function. The family of inner products is called a Riemannian metric. These terms are named after the German mathematician Bernhard Riemann. The study of Riemannian manifolds comprises the subject called Riemannian geometry. A Riemannian metric makes it possible to define various geometric notions on a Riemannian manifold, such as angles, lengths of curves, areas, curvature, gradients of functions and divergence of vector fields.

How to pronounce riemannian manifold?

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How to say riemannian manifold in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of riemannian manifold in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of riemannian manifold in Pythagorean Numerology is: 1

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Riemannian_Manifold
2. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=riemannian manifold