Results 51 to 60 of about 65,221 (236)
Contact Metric Spaces and pseudo-Hermitian Symmetry
Mathematics, 2020 We prove that a contact strongly pseudo-convex CR (Cauchy–Riemann) manifold M2n+1, n≥2, is locally pseudo-Hermitian symmetric and satisfies ∇ξh=μhϕ, μ∈R, if and only if M is either a Sasakian locally ϕ-symmetric space or a non-Sasakian (k,μ)-space.
Jong Taek Cho
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Exact solutions for time-dependent complex symmetric potential well
Acta Polytechnica, 2023 Using the pseudo-invariant operator method, we investigate the model of a particle with a time-dependent mass in a complex time-dependent symmetric potential well V (x, t) = if (t) |x|.
Boubakeur Khantoul, Abdelhafid Bounames
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Hermitian vector fields and special phase functions
, 2005 We start by analysing the Lie algebra of Hermitian vector fields of a Hermitian line bundle. Then, we specify the base space of the above bundle by considering a Galilei, or an Einstein spacetime.
Abraham R. +14 more
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Some remarks on quasi-Hermitian operators [PDF]
, 2013 A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric operator, i.e., a strictly positive self-adjoint operator.
Antoine J.-P. +10 more
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Hermitian metrics on Calabi–Eckmann manifolds
Differential Geometry and its Applications, 2002 The main purpose of the paper is to provide explicit examples of Riemannian metrics and their associated tensors with respect to a given almost complex structure. To achieve this, the authors consider the Calabi-Eckmann manifolds \(S^{2n+1}\times S^{2m+1}\) and by using the Hopf fibration perform the calculations with respect to a family of Riemannian ...
Durán, Carlos E., Simanca, Santiago R.
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The complex Monge-Amp\`{e}re equation on some compact Hermitian manifolds
, 2014 We consider the complex Monge-Amp\`{e}re equation on compact manifolds when the background metric is a Hermitian metric (in complex dimension two) or a kind of Hermitian metric (in higher dimensions).
Chu, Jianchun
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On anti-Hermitian metric connections
Comptes Rendus. Mathématique, 2014 It is a remarkable fact that anti-Kähler and its twin metrics share the same Levi–Civita connection. Such torsion-free metric connection also emphasizes the importance of anti-Hermitian metric connections with torsion in the study of anti-Hermitian geometry.
openaire +3 more sources
Improved Disorder Resilience in Small‐Footprint Photonic Cavities with Periodicity Breaking
Advanced Optical Materials, EarlyView.Compact photonic crystal cavities with engineered aperiodicity are demonstrated to sustain high quality factormodes and enhanced reproducibility within a minimal footprint. Combining numerical optimization and near‐field measurements, the study reveals how controlled periodicity breaking improves disorder resilience, offering a robust and scalable ...
Nicoletta Granchi +7 more
wiley +1 more source
Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds
Comptes Rendus. MathématiqueWe show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity.
Deng, Fusheng +3 more
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Isospectral Hamiltonians from Moyal products [PDF]
, 2006 Recently Scholtz and Geyer proposed a very efficient method to compute metric operators for non-Hermitian Hamiltonians from Moyal products. We develop these ideas further and suggest to use a more symmetrical definition for the Moyal products, because ...
Faria, Carla Figueira de Morisson +1 more
core +2 more sources