Asymptotic behavior of flows by powers of the Gaussian curvature

A geodesic triangle on Riemannian manifold is a triangle all of whose ver- tices are geodesics.. On a sphere, for example, the curvature is always 1 which means that the sum of

An asymptotic bound for the tail of the distribution of the maximum of a gaussian process.. Annales

On K¨ahler manifolds admitting an extremal metric ω, for any K - invariant K¨ahler potential ϕ 0 close to ω (in the sense of Theorem (1.4)), the modified Calabi flow

In this section we prove the short time existence of the solution to (1.1) if the initial hypersurface has positive scalar curvature and we give a regularity theorem ensuring that

Andrews shows that convex surfaces moving by Gauss curvature converge to round points without any initial pinching condition.. For general speeds of higher

Proposition 2.1 If Theorem 1.2 holds for constant curvature spheres, it holds for any closed, positively curved, Riemannian, locally symmetric space.. We will proceed by

By computing the Seshadri constant x (L) for the case of V = P 1 , their result recovers the Roth’s the- orem, so the height inequality they established can be viewed as

In this section we present numerical results to illustrate the theoretical results derived in the previous sections and show that well chosen regularization operators and