Results 31 to 40 of about 42,392 (191)
A Class of Special Hypersurfaces in Real Space Forms
Journal of Function Spaces, 2016 We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms Rn+1, Sn+1, and Hn+1 is isoparametric if it has constant principal curvatures.
Yan Zhao, Ximin Liu
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Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]
AUT Journal of Mathematics and ComputingIn this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
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Analytic regularity of CR maps into spheres
, 2003 Let $M$ be a connected real-analytic hypersurface in $\C^N$ and $\S$ the unit real sphere in $\C^{N'}$, $N'> N\geq 2$. Assume that $M$ does not contain any complex-analytic hypersurface of $\C^N$ and that there exists at least one strongly pseudoconvex ...
Mir, Nordine
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Physical Review X, 2021 We present a theoretical study and experimental realization of a system that is simultaneously a four-dimensional (4D) Chern insulator and a higher-order topological insulator.
Ze-Guo Chen +4 more
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RHM-δ-GLMB Tracking Algorithm on the Focal Plane for UAV Cluster Targets
IEEE Access, 2023 This paper offers a new tracking algorithm for clustered targets of focal plane unmanned aerial vehicles (UAVs) by integrating the random hypersurface model (RHM) model into the $\delta $ -generalized label multi-Bernoulli ( $\delta $ -GLMB) filter to ...
Yijin Wang, Chuangming Tong, Jiahao Xie
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In–out propagator in de Sitter space from general boundary quantum field theory
Physics Letters B, 2015 The general boundary formulation of quantum theory is applied to quantize a real massive scalar field in de Sitter space. The space–time region where the dynamics of the field takes place is bounded by one spacelike hypersurface of constant conformal de ...
Daniele Colosi
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Transversal Jacobi Operators in Almost Contact Manifolds
Mathematics, 2020 Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
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What is the total Betti number of a random real hypersurface?
, 2011 We bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold. This upper bound is deduced from the equirepartition of critical points of a real Lefschetz pencil restricted to the ...
Gayet, Damien, Welschinger, Jean-Yves
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Geodesics on Calabi-Yau manifolds and winding states in nonlinear sigma models
Frontiers in Physics, 2013 We conjecture that a non-flat D-real-dimensional compact Calabi-Yau manifold, such as a quintic hypersurface with D=6, or a K3 manifold with D=4, has locally length minimizing closed geodesics, and that the number of these with length less than L grows ...
Peng eGao, Michael R. Douglas
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Dispersion‐Less Dissipative Soliton Fiber Laser
Laser &Photonics Reviews, EarlyView.A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed +2 more
wiley +1 more source