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compact Riemannian manifold

On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold

On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold

... 1. Introduction The aim is this paper is twofold. The first one is to generalise Theorem 2 from Burq et all [12] on the global existence of nonlinear Schrödinger equation (NLS) to a stochastic setting. The second one is ...

39

About pseudo-Riemannian  Lichnerowicz conjecture

About pseudo-Riemannian Lichnerowicz conjecture

... a compact Riemannian manifold of di- mension n ≥ ...non- compact case (see [Fe2], [Sch], [Fr3]), and for other structures than conformal ones ([Mat], ...

8

Conical square functionals on Riemannian manifolds

Conical square functionals on Riemannian manifolds

... 1 Introduction In this paper, we study conical vertical square functionals in the framework of Riem- mannian manifolds. Let M be a complete non compact Riemannian manifold. The Riemannian ...

34

Compact Multiantenna

Compact Multiantenna

... Copyright © 2012 L. Rudant et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the ...

8

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling

... Motivated by these unexpected results and difficulties in manipulating the exponential map in more general sub-Riemannian cases, in Section 5 we try another construction in the general contact case (that we call ...

33

Manifold embedding for curve registration

Manifold embedding for curve registration

... classification procedure : the classical k-nearest neighbours. In Figure 4 , we observe that the CAM average oversmoothes the peaks of activity at times 12 and 22 to make them almost nonexistent. This is a clear defect ...

18

Weighted LP estimates on Riemannian manifolds

Weighted LP estimates on Riemannian manifolds

... Abstract The topics addressed in this thesis lie in the field of harmonic analysis and more pre- cisely, weighted inequalities. Our main interests are the weighted L p -bounds of the Riesz transforms on complete ...

170

Mass Transportation on Sub-Riemannian Manifolds

Mass Transportation on Sub-Riemannian Manifolds

... The aim of this paper is twofold: on the one hand, we prove new existence and uniqueness results for the optimal transport map on sub-Riemannian manifolds. In particular, we show that the structure of the optimal ...

47

Sub-Riemannian interpolation inequalities

Sub-Riemannian interpolation inequalities

... Theorem 16 (Conjugate points and minimality). Let γ : [0, 1] → M be a minimiz- ing geodesic, which does not contain abnormal segments. Then γ(s) is not conjugate to γ(s 0 ) for every s, s 0 ∈ [0, 1] with |s − s 0 | < ...

46

Discretized Riemannian Delaunay triangulations

Discretized Riemannian Delaunay triangulations

... Energy-based methods Optimal Delaunay triangulations (ODT) were introduced by Chen et al. [CX04, CSX07] as the triangulation that minimizes the interpolation error ku − ˆ uk of a function u and its piece- wise ...

16

Witt pseudo-Riemannian connection

Witt pseudo-Riemannian connection

... Example 2.4 Lightlike submanifold (cf. [5]). Let N be a n-dimensional submanifold of a pseudo-Riemannian manifold (M m , g). We assume that, at each point x ∈ N , rad(T x N )) = T x N ∩ T x N ⊥ 6= {0} and ...

28

Discretized Riemannian Delaunay Triangulations

Discretized Riemannian Delaunay Triangulations

... computing Riemannian Voronoi diagrams and ex- posed theoretical conditions on the point set and the canvas such that geodesic and straight edge realizations are embedded triangulations of the domain in planar and ...

55

Lexicographic optimal chains and manifold triangulations

Lexicographic optimal chains and manifold triangulations

... Section 9 studies C 2 2-manifolds embedded in n-dimensional Euclidean space and proves, under good sampling condition with respect to the manifold reach, that both the lexicographic- minimal chain and a certain L ...

104

Spectral Geometry Processing with Manifold Harmonics

Spectral Geometry Processing with Manifold Harmonics

... on manifold (Section 1). A Manifold Harmonics Basis (MHB) will be built through a Finite Elements Discretization, and its relations with the classical discrete Laplacian will be explained in (Section ...the ...

11

Synthesis Method for Manifold-Coupled Multiplexers

Synthesis Method for Manifold-Coupled Multiplexers

... the manifold taking into account the problem of manifold peaks, and secondly, to synthesise the channel filters through a continuation algorithm obtaining the circuit model of each filter without any ...

5

Minimax adaptive estimation in manifold inference

Minimax adaptive estimation in manifold inference

... Introduction Manifold inference deals with the estimation of geometric quantites in a random ...d-dimensional manifold M , one wants to produce an estimator ˆ θ which estimates accurately some quantity θ(M ...

43

Estimating the Reach of a Manifold

Estimating the Reach of a Manifold

... the manifold and the width of the narrowest bottleneck-like structure of M , which quantifies how close M is from being ...in manifold reconstruction, the reach helps formalize minimax rates [ 25 , 31 ...

44

On measures in sub-Riemannian geometry

On measures in sub-Riemannian geometry

... References 17 1. Introduction 1.1. Objectives and structure of the paper. In [9] we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the ...

19

Orderable 3-manifold groups

Orderable 3-manifold groups

... 5. Left-orderability and foliations. In this paragraph we shall focus on a different class of objects, namely on codimension 1 foliations. Such foliations will play an important role in our analysis of the ...

47

Manifold approximation of set-valued functions

Manifold approximation of set-valued functions

... sequence ǫ (k) ∈ R, 0 ≤ |ǫ (k) | < α, which converges to zero such that ǫ (k) is a regular value of both h (k) and h (k) | ∂M (k) . Now define the sequence N (k) ⊆ M (k) by N (k) = {˜ x ∈ M (k) |h (k) (˜ x) = ǫ (k) } ...

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