A Curve Satisfying K/T = s with constant K>0

Incrementally satisfying a searcher ’ s information need

1. Introduction The Internet has become the virtual reality of mankind – a world that we shape without many of the imperfections of reality. We can jump to literally every place in no time and reach every resource anywhere anytime. In particular this last promise of information at your fingertips is under siege. The growing complexity of information space overwhelms the wired consumer and the v...

Intersection numbers in the curve graph with a uniform constant

We derive various inequalities involving the intersection number of the curves contained in geodesics and tight geodesics in the curve graph. While there already exist such inequalities on tight geodesics, our method applies in the setting of geodesics. Furthermore, the method gives inequalities with a uniform constant depending only on the topology of the surface.

‎Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter‎ ‎space or anti-de Sitter space

‎Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de Sitter space or an anti-de‎ ‎Sitter space‎, ‎$S$ and $K$ be the squared norm of the second‎ ‎fundamental form and Gauss-Kronecker curvature of $M^n$‎. ‎If $S$ or‎ ‎$K$ is constant‎, ‎nonzero and $M^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

A pr 2 00 7 Penalization approach for mixed hyperbolic systems with constant coefficients satisfying a Uniform

In this paper, we describe a new, systematic and explicit way of approximating solutions of mixed hyperbolic systems with constant coefficients satisfying a Uniform Lopatinski Condition via different Pe-nalization approaches.