Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700370
Abstract: We prove convergence results for expanding curvature flows in the Euclidean and hyperbolic space. The flow speeds have the form $F^{-p}$, where $p>1$ and $F$ is a positive, strictly monotone and 1-homogeneous curvature function. In… read more here.
Keywords: pinched hypersurfaces; expansion pinched; hyperbolic space; euclidean hyperbolic ... See more keywords
Clifford–Fourier transform on hyperbolic space
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4253
Abstract: In this paper, we introduce a new generalization of the Helgason–Fourier transform using the angular Dirac operator on both the hyperboloid and unit ball models. The explicit integral kernels of even dimension are derived. Furthermore,… read more here.
Keywords: fourier transform; clifford fourier; transform hyperbolic; hyperbolic space ... See more keywords
Monodromy defects from hyperbolic space
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2022)041
Abstract: Abstract We study monodromy defects in O(N) symmetric scalar field theories in d dimensions. After a Weyl transformation, a monodromy defect may be described by placing the theory on S1 × Hd−1, where Hd−1 is… read more here.
Keywords: hyperbolic space; monodromy; defect; monodromy defects ... See more keywords
On right-angled polygons in hyperbolic space
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DOI: 10.1007/s10711-018-0357-y
Abstract: We study oriented right-angled polygons in hyperbolic spaces of arbitrary dimensions, that is, finite sequences $$( S_0,S_1,\ldots ,S_{p-1})$$(S0,S1,…,Sp-1) of oriented geodesics in the hyperbolic space $$\varvec{H}^{n+2}$$Hn+2 such that consecutive sides are orthogonal. It was previously… read more here.
Keywords: right angled; polygons hyperbolic; angled polygons; hyperbolic space ... See more keywords
A CLASS OF CRITICAL KIRCHHOFF PROBLEM ON THE HYPERBOLIC SPACE $\mathbb{H}^{{\it n}}$
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DOI: 10.1017/s0017089518000563
Abstract: Abstract We investigate questions on the existence of nontrivial solution for a class of the critical Kirchhoff-type problems in Hyperbolic space. By the use of the stereographic projection the problem becomes a singular problem on… read more here.
Keywords: class critical; hyperbolic space; problem; critical kirchhoff ... See more keywords
Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.013601
Abstract: Circuit quantum electrodynamics is one of the most promising platforms for efficient quantum simulation and computation. In recent groundbreaking experiments, the immense flexibility of superconducting microwave resonators was utilized to realize hyperbolic lattices that emulate… read more here.
Keywords: electrodynamics; hyperbolic space; circuit quantum; quantum electrodynamics ... See more keywords
Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1398-8
Abstract: In this paper, we are concerned with a singular version of the Moser-Trudinger inequality with the exact growth condition in the n-dimension hyperbolic space Hn$\mathbb{H}^{n}$. Our result is a natural extension of the work of… read more here.
Keywords: exact growth; moser trudinger; hyperbolic space; trudinger inequality ... See more keywords
Theory of Quantum Mechanical Scattering in Hyperbolic Space
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DOI: 10.3390/sym15020377
Abstract: The theory of quantum mechanical scattering in hyperbolic space is developed. General formulas based on usage of asymptotic form of the solution of the Shrödinger equation in hyperbolic space are derived. The concept of scattering… read more here.
Keywords: hyperbolic space; scattering hyperbolic; quantum mechanical; space ... See more keywords