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Recent questions tagged metric-tensor

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Recent questions tagged metric-tensor

The metric tensor is a second rank (specifically, it is a (2,0) tensor) tensor $g_{\mu\nu}$ such that $g_{\mu\nu}=\hat e_\mu\cdot\hat e_\nu$. It therefore describes the angles between vectors. Curvature tensors can be derived from it.

This tensor is commonly used in general-relativity, where the curvature of spacetime describes the strength of gravity, in a sense. A solution to the Einstein Field Equation is a solution for the metric tensor.

The metric tensor formulation is of course, a second-order formulation. The first-order formulation uses the vielbin.

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0 answers 573 views
The scalar curvature flow
asked May 20, 2022 in Mathematics by Antoine Balan (-80 points)
+ 0 like - 1 dislike
0 answers 418 views
Coupled Ricci flow
asked Feb 13, 2022 in Mathematics by Antoine Balan (-80 points)
+ 0 like - 1 dislike
2 answers 1053 views
Potential function of a metric
asked Nov 21, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 497 views
A Ricci flow with a vector field
asked Nov 11, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 488 views
A scalar Ricci flow
asked Oct 15, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 498 views
The positiv Ricci flow
asked Oct 12, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 440 views
Diffeomorphisms and Ricci flow
asked Oct 2, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 657 views
The LCK-Ricci flow
asked Jun 29, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 703 views
The Yamabe flow
asked Jun 28, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 527 views
A Kaehler-Ricci flow on functions
asked Feb 19, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 556 views
The second Kaehler-Ricci flow
asked Feb 14, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 637 views
The flow of curvature
asked Feb 12, 2021 in Mathematics by Antoine Balan (-80 points)
+ 2 like - 1 dislike
0 answers 717 views
The vector potential of a metric
asked Nov 26, 2020 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
1 answer 1222 views
The Einstein-Ricci flow
asked Nov 4, 2020 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 508 views
The Riemann-Ricci flow
asked Jun 6, 2020 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 679 views
About a Ricci flow
asked Apr 19, 2020 in Mathematics by Antoine Balan (-80 points)
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