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List of things named after Bernhard Riemann and Metric connection

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between List of things named after Bernhard Riemann and Metric connection

List of things named after Bernhard Riemann vs. Metric connection

The German mathematician Bernhard Riemann (1826–1866) is the eponym of many things. In mathematics, a metric connection is a connection in a vector bundle E equipped with a bundle metric; that is, a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve.

Similarities between List of things named after Bernhard Riemann and Metric connection

List of things named after Bernhard Riemann and Metric connection have 5 things in common (in Unionpedia): Bundle metric, Fundamental theorem of Riemannian geometry, Metric tensor, Pseudo-Riemannian manifold, Riemann curvature tensor.

Bundle metric

In differential geometry, the notion of a metric tensor can be extended to an arbitrary vector bundle, and to some principal fiber bundles.

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Fundamental theorem of Riemannian geometry

In Riemannian geometry, the fundamental theorem of Riemannian geometry states that on any Riemannian manifold (or pseudo-Riemannian manifold) there is a unique torsion-free metric connection, called the Levi-Civita connection of the given metric.

Fundamental theorem of Riemannian geometry and List of things named after Bernhard Riemann · Fundamental theorem of Riemannian geometry and Metric connection · See more »

Metric tensor

In the mathematical field of differential geometry, a metric tensor is a type of function which takes as input a pair of tangent vectors and at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space.

List of things named after Bernhard Riemann and Metric tensor · Metric connection and Metric tensor · See more »

Pseudo-Riemannian manifold

In differential geometry, a pseudo-Riemannian manifold (also called a semi-Riemannian manifold) is a generalization of a Riemannian manifold in which the metric tensor need not be positive-definite, but need only be a non-degenerate bilinear form, which is a weaker condition.

List of things named after Bernhard Riemann and Pseudo-Riemannian manifold · Metric connection and Pseudo-Riemannian manifold · See more »

Riemann curvature tensor

In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the most common method used to express the curvature of Riemannian manifolds.

List of things named after Bernhard Riemann and Riemann curvature tensor · Metric connection and Riemann curvature tensor · See more »

The list above answers the following questions

List of things named after Bernhard Riemann and Metric connection Comparison

List of things named after Bernhard Riemann has 69 relations, while Metric connection has 50. As they have in common 5, the Jaccard index is 4.20% = 5 / (69 + 50).

References

This article shows the relationship between List of things named after Bernhard Riemann and Metric connection. To access each article from which the information was extracted, please visit:

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