The strong maximum principle is proved to hold for weak (in the sense of support functions) suband super-solutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C spacelike hypersurfaces in a Lorentzian manifold. As one application a Lorentzian warped product splitting theorem is given.

We propose that the two armed spiral features seen in visible HST images of scattered light in HD100546’s debris disk are caused by surface gradient variation of a warped optically thin disk. A tilt of 6-10 degrees from the symmetry plane can cause the observed surface brightness variations providing the disk is geometrically thin, optically thin and very twisted (highly warped) at radii greate...

We show that there exist no proper warped product semi-invariant submanifolds in almost paracontact Riemannian manifolds such that totally geodesic submanifold and totally umbilical submanifold of the warped product are invariant and anti-invariant, respectively. Therefore, we consider warped product semi-invariant submanifolds in the form N N⊥×fNT by reversing two factor manifolds NT and N⊥. W...

Abstract: In the present paper, we give a necessary and sufficient condition for contact CR-warped product to be contact CR-product in Kenmotsu space forms.

in this paper we consider contact cr-warped product submanifolds of the type $m = n_ttimes_f n_perp$, of a nearly kenmotsu generalized sasakian space form $bar m(f_1‎, ‎f_2‎, ‎f_3)$ and by use of hopf's lemma we show that $m$ is simply contact cr-product under certain condition‎. ‎finally‎, ‎we establish a sharp inequality for squared norm of the second fundamental form and equality case i...

Time-warped signal spaces have received recent attention in the research literature. Among the topics of particular interest are sampling of time-warped signals and signal analysis using warped analysis functions, including wavelets. This correspondence introduces a reproducing kernel (RK) structure for time-warped signal spaces that unifies multiple perspectives on sampling in such spaces.

We extend some results by Goldshtein, Kuzminov, and Shvedov about the Lp-cohomology of warped cylinders to Lp,q-cohomology for p 6= q. As an application, we establish some sufficient conditions for the nontriviality of the Lp,q-torsion of a surface of revolution in terms of some Hardy constants. Mathematics Subject Classification. 58A12, 46E30.

A sound recording of a plucked string instrument is encoded and resynthesized using two stages of prediction. In the first stage of prediction, a simple physical model of a plucked string is estimated and the instrument excitation is obtained. The second stage of prediction compensates for the simplicity of the model in the first stage by encoding either the instrument excitation or the model e...

Using Dirac-Born-Infeld inflation as an example, we demonstrate that the detailed geometry of warped compactification can leave an imprint on the cosmic microwave background. We compute cosmic microwave background observables for Dirac-Born-Infeld inflation in a generic class of warped throats and find that the results (such as the sign of the tilt of the scalar perturbations and its running) d...