Results 71 to 80 of about 5,510,773 (262)
Monopoles, instantons and the Helmholtz equation
In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which are non-trivial circle fibrations over hyperbolic 3-space.
Franchetti, Guido, Maldonado, Rafael
core +1 more source
Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups inH3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups ofG0inH3. Also, we give explicit parametrization of these invariant surfaces with respect to constant
Mahmut Mak, Baki Karliga
openaire +5 more sources
Field‐free spin‐orbit torque domain‐wall synapses integrated with stochastic MTJ neurons enable compact hardware Boltzmann machines. Leveraging intrinsic stochasticity and multi‐level conductance, the system achieves efficient probabilistic learning with high accuracy, demonstrating a scalable spintronic platform for energy‐efficient edge AI.
Aijaz H. Lone +8 more
wiley +1 more source
Adam's Inequality on the Hyperbolic space [PDF]
In this article we establish an Adam's Inequality in the Hyperbolic space. As an application we will also prove the asymptotic behaviour of the best constants in the Sobolev inequality and also discuss the solvability of Q curvature type PDE's in the ...
D. Karmakar, K. Sandeep
semanticscholar +1 more source
Products of Hyperbolic Metric Spaces [PDF]
17 ...
Foertsch, T, Schroeder, Viktor
openaire +3 more sources
An integrated material platform combining engineered SiNx thin films and printable ZrO2 nanoparticle‐embedded resin enables broadband achromatic metalenses from the ultraviolet to visible range. The demonstrated meta‐optics achieve near‐diffraction‐limited focusing with minimal chromatic aberration.
Hyunjung Kang +3 more
wiley +1 more source
Sharp Poincar\'e-Hardy and Poincar\'e-Rellich inequalities on the hyperbolic space [PDF]
We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian $-\Delta_{\mathbb H^N}-(N-1)^2/4$ on the hyperbolic space ${\mathbb H}^N$, $(N-1)^2/4$ being, as it is well-known, the bottom of the $L^2$-spectrum of $-\Delta_ ...
E. Berchio, D. Ganguly, G. Grillo
semanticscholar +1 more source
Embeddings of Gromov Hyperbolic Spaces [PDF]
To state the main result of the paper we start with two definitions: A metric space \(X\) has ``bounded growth at some scale'' if there are constants \(R>r>0\) and a positive integer \(N\) such that every open ball of radius \(R\) in \(X\) can be covered by \(N\) open balls of radius \(r\). A metric space \(X\) is ``roughly similar'' to a metric space \
Bonk, M., Schramm, O.
openaire +1 more source
Neural cell–derived small extracellular vesicles (sEVs) are emerging as pivotal mediators in neurodegenerative diseases, exerting both pathogenic and therapeutic functions. This review synthesizes current evidence on how sEVs from distinct neural cell types regulate neurodegeneration, neuroprotection, biomarker discovery, and targeted drug delivery ...
Muhammad Waqas Salim +4 more
wiley +1 more source
Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2 [PDF]
We classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrinsic Riemannian data of the problem.
Luis C. Garc'ia-Naranjo +3 more
semanticscholar +1 more source

