44,412 research outputs found
Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature
We study minimal hypersurfaces in manifolds of non-negative Ricci curvature,
Euclidean volume growth and quadratic curvature decay at infinity. By
comparison with capped spherical cones, we identify a precise borderline for
the Ricci curvature decay. Above this value, no complete area-minimizing
hypersurfaces exist. Below this value, in contrast, we construct examples.Comment: 31 pages. Comments are welcome
Hot Spots on the Fermi Surface of Bi2212: Stripes versus Superstructure
In a recent paper Saini et al. have reported evidence for a pseudogap around
(pi,0) at room temperature in the optimally doped superconductor Bi2212. This
result is in contradiction with previous ARPES measurements. Furthermore they
observed at certain points on the Fermi surface hot spots of high spectral
intensity which they relate to the existence of stripes in the CuO planes. They
also claim to have identified a new electronic band along Gamma-M1 whose one
dimensional character provides further evidence for stripes. We demonstrate in
this Comment that all the measured features can be simply understood by
correctly considering the superstructure (umklapp) and shadow bands which occur
in Bi2212.Comment: 1 page, revtex, 1 encapsulated postscript figure (color
Minimal graphic functions on manifolds of non-negative Ricci curvature
We study minimal graphic functions on complete Riemannian manifolds \Si
with non-negative Ricci curvature, Euclidean volume growth and quadratic
curvature decay. We derive global bounds for the gradients for minimal graphic
functions of linear growth only on one side. Then we can obtain a Liouville
type theorem with such growth via splitting for tangent cones of \Si at
infinity. When, in contrast, we do not impose any growth restrictions for
minimal graphic functions, we also obtain a Liouville type theorem under a
certain non-radial Ricci curvature decay condition on \Si. In particular, the
borderline for the Ricci curvature decay is sharp by our example in the last
section.Comment: 38 page
The Schwaigerian driver transfer technique and the Thevenin's and the Norton's theorem Final report
Graphical technique for analyzing series-parallel networks by rectangular diagrams in solving power distribution problem
Features of pulsed synchronization of a systems with a tree-dimensional phase space
Features of synchronization picture in the system with the limit cycle
embedded in a three-dimensional phase space are considered. By the example of
Ressler system and Dmitriev - Kislov generator under the action of a periodic
sequence of delta - function it is shown, that synchronization picture
significantly depends on the direction of pulse action. Features of
synchronization tons appeared in these models are observed.Comment: 16 pages, 11 figure
Three realizations of quantum affine algebra
In this article we establish explicit isomorphisms between three realizations
of quantum twisted affine algebra : the Drinfeld ("current")
realization, the Chevalley realization and the so-called realization,
investigated by Faddeev, Reshetikhin and Takhtajan.Comment: 15 page
Dynamical evolution of scalar perturbation in Ho\v{r}ava-Lifshitz black-hole spacetimes
We study the dynamical evolution of a massless scalar perturbation in the
Ho\v{r}ava-Lifshitz black-hole spacetimes with the coupling constants
, and , respectively. Our calculation
shows that, for the three cases, the scalar perturbations decay without any
oscillation in which the decay rate imprints the parameter of the
Ho\v{r}ava-Lifshitz black hole. The results are quite different from those in
the Schwarzschild AdS black hole and can help us understand more about the
Ho\v{r}ava-Lifshitz gravity.Comment: 14 pages, 5 figure
On the \phi(1020)f_0(980) S-wave scattering and the Y(2175) resonance
We have studied the \phi(1020)f_0(980) S-wave scattering at energies around
threshold employing chiral Lagrangians coupled to vector mesons through minimal
coupling. The interaction kernel is obtained by considering the f_0(980) as a
K\bar{K} bound state. The Y(2175) resonance is generated in this approach by
the self-interactions between the \phi(1020) and the f_0(980) resonances. We
are able to describe the e^+e^-\to \phi(1020)f_0(980) recent scattering data to
test experimentally our scattering amplitudes, concluding that the Y(2175)
resonance has a large \phi(1020)f_0(980) meson-meson component.Comment: 20 pages, 8 figure
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