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Hyperbolic inflation [PDF]

open access: yesPhysical Review D, 2011
We propose a natural scenario for the cosmological inflation with the non-minimal coupling term invoking compact hyperbolic extra dimensions. Thanks to the unique mathematical properties of compact hyperbolic space, the large volume of extra dimensions, which provides a natural understanding of the proper size of couplings, does not necessarily ...
Kim, Yoonbai, Park, Seong Chan
openaire   +2 more sources

Extended hyperbolicity [PDF]

open access: yesAnnali di Matematica Pura ed Applicata, 2010
Given a complex space $X$, we cosidered the problem of finding a {\it hyperbolic model} of $X$. This is an object $\ip(X)$ with a morphism $i:X\to \ip(X)$ in such a way that $\ip(X)$ is ``hyperbolic'' in a suitable sense and $i$ is as close as possible to be an isomorphism.
Borghesi, Simone, Tomassini, Giuseppe
openaire   +3 more sources

A hyperbolic-by-hyperbolic hyperbolic group [PDF]

open access: yesProceedings of the American Mathematical Society, 1997
Given a short exact sequence of finitely generated groups \(1\to K\to G\to H\to 1\), the author has shown [in J. Pure Appl. Algebra 110, No. 3, 305-314 (1996; Zbl 0851.20037)] that if \(K\) and \(G\) are word hyperbolic and if \(K\) is nonelementary (that is, not virtually cyclic), then \(H\) is word hyperbolic. The interesting original example of this
openaire   +1 more source

Pointwise hyperbolicity implies uniform hyperbolicity

open access: yesDiscrete & Continuous Dynamical Systems - A, 2014
Oberwolfach Preprints;2009 ...
Hasselblatt, Boris   +2 more
openaire   +2 more sources

Hyperbolic geometrical optics: Hyperbolic glass

open access: yesJournal of Mathematical Physics, 2006
We study the geometrical optics generated by a refractive index of the form n(x,y)=1∕y (y>0), where y is the coordinate of the vertical axis in an orthogonal reference frame in R2. We thus obtain what we call “hyperbolic geometrical optics” since the ray trajectories are geodesics in the Poincaré-Lobachevsky half-plane H2. Then we prove that the
De Micheli Enrico   +2 more
openaire   +4 more sources

Off-axis representation of hyperbolic mirror shapes for X-ray beamlines

open access: yesJournal of Synchrotron Radiation, 2023
Mirror-centered, closed-form expressions for hyperbolic surfaces used in X-ray beamlines have been derived. Hyperbolic mirrors create a virtual focus or source point and can be used to lengthen or shorten the effective focal distance of a compound ...
Kenneth A. Goldberg   +1 more
doaj   +1 more source

Moiré Hyperbolic Metasurfaces [PDF]

open access: yesNano Letters, 2020
17 pages, 4 ...
Guangwei Hu   +4 more
openaire   +3 more sources

Discounting in pigeons when the choice is between two delayed rewards: implications for species comparisons

open access: yesFrontiers in Neuroscience, 2011
Studies of delay discounting typically have involved choices between smaller, immediate outcomes and larger, delayed outcomes. In a study of delay discounting in humans, Green, Myerson, and Macaux (2005) added a period of time prior to both outcomes ...
Amanda L. Calvert   +2 more
doaj   +1 more source

Flows with ergodic pseudo orbit tracing property

open access: yesElectronic Research Archive, 2022
In the manuscript, we deal with a type of pseudo orbit tracing property and hyperbolicity about a vector field (or a divergence free vector field). We prove that a vector field (or a divergence free vector field) of a smooth closed manifold $ M $ has the
Manseob Lee
doaj   +1 more source

Forced hyperbolic mean curvature flow [PDF]

open access: yes, 2012
In this paper, we investigate two hyperbolic flows obtained by adding forcing terms in direction of the position vector to the hyperbolic mean curvature flows in \cite{klw,hdl}.
Mao, Jing
core   +1 more source

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