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 Übersetzung für 'Ricci curvature' von Englisch nach Deutsch
math.
Ricci curvature [also: Ricci's curvature]
Ricci-Krümmung {f}
3 Wörter
math.
vanishing Ricci curvature
verschwindende Ricci-Krümmung {f}
Teiltreffer
math.
Ricci flow
Ricci-Fluss {m}
math.
Ricci flatness
Ricci-Flachheit {f}
math.
curvature
Krümmung {f} [einer Kurve, Fläche]
456
ind.
curvature
Bogenlauf {m}
7
curvatureSchweif {m}
6
spec.
curvature
Biegung {f}
64
curvatureWölbung {f}
47
curvatureRundung {f}
80
curvatureKurvatur {f}
5
math.
Gaussian curvature
gaußsches Krümmungs­maß {n}
math.
Riemann curvature
riemannsche Krümmung {f}
math.tech.
negative curvature
negative Krümmung {f}
anat.
spinal curvature
Wirbelsäulenverkrümmung {f}
astron.phys.
spacetime curvature
Raumzeitkrümmung {f}
astron.math.
direction curvature
Richtungs­krümmung {f}
tech.
longitudinal curvature
Längenkrümmung {f}
math.phys.
curvature property
Krümmungs­eigenschaft {f}
math.tech.
curvature radius
Wölbungs­radius {m}
math.tech.
curvature radius
Krümmungs­radius {m}
math.tech.
curvature radius
Krümmungs­halbmesser {m}
22 Übersetzungen
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Anwendungsbeispiele Englisch
  • admits a Kähler metric with vanishing Ricci curvature, and this may be taken as an equivalent definition of Calabi–Yau.
  • The Ricci curvature tensor is the contraction of the first and third indices of the Riemann tensor.
  • Two more generalizations of curvature are the scalar curvature and Ricci curvature.
  • Gromov and Milman developed the basic theory of Lévy families and identified a number of examples, most importantly coming from sequences of Riemannian manifolds in which the lower bound of the Ricci curvature or the first eigenvalue of the Laplace–Beltrami operator diverge to infinity.
  • A pseudo-Riemannian manifold is said to be Ricci-flat if its Ricci curvature is zero.

  • The Bonnet–Myers theorem states that a complete Riemannian manifold that has Ricci curvature everywhere greater than a certain positive constant must be compact.
  • So if one could show directly that any smooth closed simply-connected 3-dimensional manifold admits a smooth Riemannian metric of positive Ricci curvature, then the Poincaré conjecture would immediately follow.
  • is a complete Riemannian manifold of nonnegative Ricci curvature, then for any precompact open set [...] with smooth and simply-connected boundary, there cannot exist a nontrivial homomorphism from the fundamental group of [...] into any group which is the fundamental group of a closed Riemannian manifold of nonpositive curvature.
  • , and the previously obtained result for the variation of the Ricci curvature (in the second term, renaming the dummy indices [...] and [...] to [...] and [...] respectively).
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