Sentence examples similar to manifold of non from inspiring English sources

As a consequence, on a locally conformally flat manifold of non-positive Euler characteristic we always have compactness.

In this paper, we prove the coarse geometric Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of non-positive sectional curvature.

In this paper, we show that the coarse Novikov conjecture holds for X, if X admits a fibred coarse embedding into a simply connected complete Riemannian manifold of non-positive sectional curvature.

The other half came when Einstein argued convincingly that physical space was best described as a non-Euclidean manifold of non-constant curvature.

We also recall that a simply connected complete Riemannian manifold of non-positive sectional curvature is called a Cartan-Hadamard manifold.

Let (N^{2} ) be a 2-dimensional simply complete Riemannian manifold of non-positive sectional curvature, and (Bsubset N^{2} ) be an open star-shaped.

The potential consists of three parts: a hard repulsive core defining the distance of close contact between the two subunit spheres, a urea-dependent short-ranged potential (bin 1) representing the compact native conformation of the protein, and a longer-ranged urea-independent potential (bins 2 6) representing the manifold of non-native conformations.

Section 2 reviews known results for invariant manifolds of non-isolated 1 1 resonant fixed points.

The global stable manifold of the non-hyperbolic steady state separates (mathbb{R}_^{2}) into two positively invariant regions (R_{1}) and (R_{2}) such that the other interior steady state is GAS in (R_{1}) and (E_{0}) is GAS in (R_{2}).

It begins with a description of the manifold characteristics of non-native speech.

All Americans are at risk, but skin cancer in general is a disease of Caucasians, who have disease rates manifold that of non-whites [ 2].