Examples of 'riemannian metric' in a sentence
Meaning of "riemannian metric"
riemannian metric: In mathematics, specifically differential geometry, a Riemannian metric is a type of metric tensor that defines a way to measure distances and angles on a smooth manifold
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riemannian metric
Such examples are found in any neighborhood of the canonical riemannian metric on these manifolds.
A Riemannian metric on a manifold allows distances and angles to be measured.
In particular it admits a Riemannian metric of constant curvature.
Every paracompact differentiable manifold admits a Riemannian metric.
Sasaki metric a natural choice of Riemannian metric on the tangent bundle of Riemannian manifold.
A Finsler metric is a much more general structure than a Riemannian metric.
As a byproduct we obtain a Riemannian metric on the Kähler cone of any compact Kähler manifold.
It is defined using a generic choice of Morse function and Riemannian metric.
Pseudo Riemannian metric.
A Riemann surface does not come equipped with any particular Riemannian metric.
A Riemannian metric is a metric with a positive definite signature v, p.
The family gp of inner products is called a Riemannian metric or Riemannian metric tensor.
This is the famous construction central to his geometry, known now as a Riemannian metric.
If it is positive definite, then it defines a Riemannian metric on the N-dimensional parameter space.
In differential geometry, a Ricci soliton is a special type of Riemannian metric.
See also
For a general G, there will not exist a Riemannian metric invariant under both left and right translations.
We thus build a new Gaussian kernel dependent on the Riemannian metric tensor.
Is the standard Riemannian metric of the 2-sphere.
The Fisher information metric provides the Riemannian metric.
A -manifold with a Riemannian metric is called a -Riemannian manifold:.
It relates the systole and the area of an arbitrary Riemannian metric on the 2-torus.
A Riemannian metric endows a surface with notions of geodesic, distance, angle, and area.
This means that in isothermal coordinates, the Riemannian metric locally has the form.
Riemannian geometry studies Riemannian manifolds, smooth manifolds with a Riemannian metric.
Any smooth manifold of dimension " n " ≥ 3 admits a Riemannian metric with negative Ricci curvature.
More precisely, for a differential manifold M, one may equip it with some auxiliary Riemannian metric.
Any open manifold admits a ( non-complete ) Riemannian metric of positive ( or negative ) curvature.
Here d { \ displaystyle d } is the distance induced by the Riemannian metric.
Formally, Gaussian curvature only depends on the Riemannian metric of the surface.
More examples are provided by compact, semi-simple Lie groups equipped with a bi-invariant Riemannian metric.
Tameness implies that the formula:formula 38defines a Riemannian metric on formula 1.
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Phenomenon of bifurcation in yamabe problem on riemannian manifolds with boundary
A singular riemannian foliation in m is a singular foliation with locally equidistant leaves
The purpose of this thesis is to study singular elliptic problems in riemannian manifolds
Examples of using Metric
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Metric tons of instant milk with cereals
All figures are in metric tonnes per year
This metric is not commonly reported or available
