A pseudohermitian (2n+1)-manifold (M^{2n+1}, J,\theta ), with CR structure J and compatible contact form \theta , is called a CR Yamabe soliton if there exist an infinitesimal contact diffeomorphism X and a constant \mu \in {\mathbb R}such that where W is the Tanaka–Webster scalar curvature of (M^{2n+1}, … Ver mais An infinitesimal contact diffeomorphism is a vector field X on M such that L_{X}\theta =\lambda \theta for some function \lambda . It is known that for … Ver mais If (M^{3}, J, \theta , f, \mu ) is a closed three-dimensional CR Yamabe soliton, then \theta is the contact structure of constant … Ver mais Let (M^{3},J,\theta , f, \mu ) be a closed CR Yamabe soliton with P_{0}f=0 for the CR Paneitz operator P_{0}. If the contact class [\theta ] of \theta admits a contact form \widetilde{\theta … Ver mais Web2 Algebraic Ricci Solitons Associated to Canonical Connections and Kobayashi-Nomizu Connections on Three-dimensional Lorentzian Lie Groups. Three-dimensional Lorentzian Lie groups have been classified in[2,4](see[1,Theorems 2.1–2.2]).Throughout this paper,we shall by{Gi}i=1,···,7,denote the connected,simply connected three-dimensional Lie ...

Three-dimensional vortex solitons in quasi-two-dimensional …

WebYamabe solitons on a three-dimensional Sasakian manifold were studied by R. Sharma [12]. As far as we know, Yamabe solitons on the other almost contact metric manifolds have not yet been studied. In this paper, we start the study of Yamabe solitons on a three-dimensional Kenmotsu manifold and obtain some local classification theorems. … Web14 de out. de 2024 · This article models experimentally observed three dimensional particle-like waves that develop in nematic liquid crystals, with negative dielectric and conductive anisotropy, when subject to an applied alternating electric field. The liquid crystal is confined in a thin region between two plates, perpendicular to the applied field. The … chilton medical center outpatient lab

Optical solitons and other solitary wave solutions of $$(1+1

Web3 de nov. de 2024 · Topologically trivial insulators come in two kinds: atomic, where the Wannier charge centers (WCCs) are localized on the atoms, and obstructed atomic, where the WCCs are located away from the atoms. The latter, which can exhibit interesting surface states and possibly have much larger band gaps than the topological insulators, have so … Web30 de nov. de 2024 · In optics, such solitons are also called “light bullets.”. We present the first experimental observation of these three-dimensional spatiotemporal solitons. … Web25 de jan. de 2024 · We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-orbit-coupled three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using numerical solution and variational approximation of a mean-field model. The spin-orbit coupling provides attraction to form vortex-bright solitons in both … chilton medical center careers