Results 21 to 30 of about 65,221 (236)
Special Hermitian metrics [PDF]
We study the stability at blow-up and deformations of a class of Hermitian metrics whose fundamental two-form $ω$ satisfies the condition $\partial \bar \partial ω^k=0$, for any $k$ between 1 and $n-1$ (where $n$ is the complex dimension of the manifold). We are motivated by the existence of compact complex manifold supporting such metrics.
Cristian Ciulică
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Deformation of Hermitian metrics
Mathematical Research Letters, 2022 In this work, we study the deformation of Hermitian metrics with Chern connection. By adapting the conformal perturbation method of Aubin and Ehrlich to Hermitian setting, we prove that Hermitian metrics with quasi-positive (resp. quasi-negative) second Chern-Ricci curvature can be deformed to one with positive (resp. negative) curvature.
Lee, Man-Chun, Li, Ka-Fai
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Homogeneous Hermitian manifolds and special metrics [PDF]
Transformation Groups, 2016 We consider non-Kaehler compact complex manifolds which are homogeneous under the action of a compact Lie group of biholomorphisms and we investigate the existence of special (invariant) Hermitian metrics on these spaces. We focus on a particular class of such manifolds comprising the case of Calabi-Eckmann manifolds and we prove the existence of an ...
Fabio Podestà
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Nearly Sasakian Manifolds of Constant Type
Axioms, 2022 The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the nearly Sasakian manifold is a ...
Aligadzhi Rustanov
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Дифференциальная геометрия многообразий фигур, 2022 Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
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A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
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Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model [PDF]
, 2007 Many manifestly non-Hermitian Hamiltonians (typically, PT-symmetric complex anharmonic oscillators) possess a strictly real, "physical" bound-state spectrum. This means that they are (quasi-)Hermitian with respect to a suitable non-standard metric.
Ahmed +49 more
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Pluriclosed star split Hermitian metrics
Mathematische Zeitschrift, 2023 We introduce a class of Hermitian metrics, that we call pluriclosed star split, generalising both the astheno-Kähler metrics of Jost and Yau and the $(n-2)$-Gauduchon metrics of Fu-Wang-Wu on complex manifolds. They have links with Gauduchon and balanced metrics through the properties of a smooth function associated with any Hermitian metric.
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Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator [PDF]
, 2014 The non-Hermitian quadratic oscillator studied by Swanson is one of the popular $PT$-symmetric model systems. Here a full classical description of its dynamics is derived using recently developed metriplectic flow equations, which combine the classical ...
Graefe, Eva-Maria +3 more
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Remarks on Chern–Einstein Hermitian metrics [PDF]
Mathematische Zeitschrift, 2019 minor changes, to appear in Math ...
daniele angella +2 more
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