Results 91 to 100 of about 75,961 (279)
Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics
Laser &Photonics Reviews, EarlyView.The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi +5 more
wiley +1 more source
Sphere Theorems for σk-Einstein Manifolds
AxiomsA problem that geometers have always been concerned with is when a closed manifold is isometric to a round sphere. A classical result shows that a closed locally conformally flat Einstein manifold is always isometric to a quotient of a round sphere.
Jingyang Zhong, Xinran Mu
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Super Quasi-Einstein Warped Products Manifolds with Respect to Affine Connections
AxiomsIn this paper, we investigate warped products on super quasi-Einstein manifolds under affine connections. We explore their fundamental properties, establish conditions for their existence, and prove that these manifolds can also be nearly quasi-Einstein ...
Mohd Vasiulla +3 more
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Complex manifolds and Einstein’s equations
, 1982 We present a generalization of Penrose’s twistor theory based on the geometry of rational curves in complex manifolds. The analytical counterpart of this complex geometry consists, in the three simplest cases, of a system of differential equations closely connected with Einstein’s equations.
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On Einstein, Hermitian 4-manifolds
Journal of Differential Geometry, 2012 Let (M,h) be a compact 4-dimensional Einstein manifold, and suppose that h is Hermitian with respect to some complex structure J on M. Then either (M,J,h) is Kaehler-Einstein, or else, up to rescaling and isometry, it is one of the following two exceptions: the Page metric on CP2 # (-CP2), or the Einstein metric on CP2 # 2 (-CP2) constructed in Chen ...
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Mathematics, 2019 In the present paper, we study conformal mappings between a connected n-dimension pseudo-Riemannian Einstein manifolds. Let g be a pseudo-Riemannian Einstein metric of indefinite signature on a connected n-dimensional manifold M.
Josef Mikeš +2 more
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On non-gradient $(m,\rho)$-quasi-Einstein contact metric manifolds. [PDF]
, 2020 Dhriti Sundar Patra, Vladimir Rovenski
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On the stability of homogeneous Einstein manifolds II [PDF]
, 2021 Jorge Lauret, Cynthia Will
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