• Aucun résultat trouvé

Stability of Curvature Measures

N/A
N/A
Protected

Academic year: 2021

Partager "Stability of Curvature Measures"

Copied!
38
0
0

Texte intégral

Loading

Figure

Figure 1: A 2-dimensional example with 2 closest points.
Figure 2: Tightness of the bound: we take K = [p, q] and K ′ = [p, q] ∪{ s } , where s is at a distance ǫ from K
Figure 3: The mean (left) and gaussian (right) curvatures of a point cloud P sampling a non smooth compact set union of a solid cube with a disc and an arc circle
Figure 4: The mean (left) and gaussian (right) curvatures of a point cloud P sampling the union of a solid cube and a solid torus
+2

Références

Documents relatifs

A quantitative stability result for boundary measures In this paragraph, we show how to use the bound on the covering numbers of the ε-away µ-medial axis given in Theorem 4.1 in

We think of scalar curvature as a Riemannin incarnation of mean cur- vature (1) and we search for constraints on global geometric invariants of n-spaces X with Sc(X) > 0 that

Roughly speaking, his result says that at the first singular time of the mean curvature flow, the product of the mean curvature and the norm of the second fundamental form blows

In the affine invariant case α=1/(n+2), Andrews [1] showed that the flow converges to an ellipsoid.. This result can alternatively be derived from a theorem of Calabi [7], which

Bamler to study the behavior of scalar cur- vature under continuous deformations of Riemannian metrics, we prove that if a sequence of smooth Riemannian metrics g i on a fixed

Videotaped lessons of a model on energy chain, from two French 5 th grade classes with the same teacher, were analysed in order to assess the percentage of stability as

Properties of weighted manifolds (and more generally, Markov diffusion processes) satisfying the CD(ρ, N ) condition have been intensively studied in the past three decades, and in

Moreover, they showed that if the curvature tensor with respect to the semi-symmetric non-metric connection vanishes, then the Riemannian manifold is projectively flat. In the