Results 51 to 60 of about 18,204 (186)
Systems of symplectic forms on four-manifolds [PDF]
, 2012 We study almost Hermitian 4-manifolds with holonomy algebra, for the canonical Hermitian connection, of dimension at most one. We show how Riemannian 4-manifolds admitting five orthonormal symplectic forms fit therein and classify them. In this set-up we
Chiossi, SImon G., Nagy, Paul-Andi
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Metasurfaces and Metadevices for Topological Electromagnetic Waves
Advanced Physics Research, EarlyView.Optical topologies refer to diverse topological localized structures made by diverse parameters of light fields, such as vortices, skyrmions, and hopfions. This article navigates a direction of metasurface‐based integrated devices for generation, manipulation and detection of novel topologies of light, which would be a rapidly growing interdisciplinary
Rensheng Xie +3 more
wiley +1 more source
Some four-dimensional almost hypercomplex pseudo-Hermitian manifolds
, 2008 In this paper, a lot of examples of four-dimensional manifolds with an almost hypercomplex pseudo-Hermitian structure are constructed in several explicit ways.
Manev, Mancho, Sekigawa, Kouei
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
A general Schwarz Lemma for almost-Hermitian manifolds
, 2007 We prove a version of Yau's Schwarz Lemma for general almost-complex manifolds equipped with Hermitian metrics. This requires an extension to this setting of the Laplacian comparison theorem.
Tosatti, Valentino
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Laser &Photonics Reviews, EarlyView.This review summarizes recent progress in meta‐photonics with a focus on bound states in the continuum (BICs) as a powerful platform for light confinement and control. It covers fundamental concepts, design strategies across optical regimes, symmetry breaking for practical quasi‐BICs, tunable and AI‐assisted BIC devices, and emerging applications in ...
Hafiz Saad Khaliq, Hak‐Rin Kim
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Inverse Design of Mirror‐Symmetric Disordered Systems for Broadband Perfect Transmission
Laser &Photonics Reviews, EarlyView.This work introduces an inverse design approach to achieve broadband perfect wave transmission in mirror‐symmetric disordered media. Leveraging symmetry simplifies optimization and enables control of multiple reflectionless states. Experiments in microwave waveguides confirm the design of exceptional points, bandpass filters, and broadband quasi ...
Zhazira Zhumabay +4 more
wiley +1 more source
PARABOLIC FLOWS ON ALMOST HERMITIAN MANIFOLDS
Kyushu Journal of Mathematics, 2019 Summary: We define two parabolic flows on compact almost Hermitian manifolds, which coincide with the pluriclosed flow and the Hermitian curvature flow, respectively, on compact Hermitian manifolds with pluriclosed metric. We study the relation between these two parabolic evolution equations.
openaire +3 more sources
Efficient First‐Principles Inverse Design of Nanolasers
Laser &Photonics Reviews, EarlyView.This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch +5 more
wiley +1 more source