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Pseudo-Riemannian manifold and Volume

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

Difference between Pseudo-Riemannian manifold and Volume

Pseudo-Riemannian manifold vs. Volume

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. Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.

Similarities between Pseudo-Riemannian manifold and Volume

Pseudo-Riemannian manifold and Volume have 4 things in common (in Unionpedia): Differentiable manifold, Differential geometry, Manifold, Metric tensor.

Differentiable manifold

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.

Differentiable manifold and Pseudo-Riemannian manifold · Differentiable manifold and Volume · See more »

Differential geometry

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.

Differential geometry and Pseudo-Riemannian manifold · Differential geometry and Volume · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Manifold and Pseudo-Riemannian manifold · Manifold and Volume · 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.

Metric tensor and Pseudo-Riemannian manifold · Metric tensor and Volume · See more »

The list above answers the following questions

Pseudo-Riemannian manifold and Volume Comparison

Pseudo-Riemannian manifold has 38 relations, while Volume has 113. As they have in common 4, the Jaccard index is 2.65% = 4 / (38 + 113).

References

This article shows the relationship between Pseudo-Riemannian manifold and Volume. To access each article from which the information was extracted, please visit:

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