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Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry [PDF]

open access: yesAdvances in High Energy Physics, 2015
The Dirac Hamiltonian in the (2+1)-dimensional curved space-time has been studied with a metric for an expanding de Sitter space-time which is two spheres.
Özlem Yeşiltaş
doaj   +4 more sources

Hermitian Rank Metric Codes and Duality [PDF]

open access: yesIEEE Access, 2021
In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for $\mathbb {F}_{q^{2}}$ -linear matrix codes in the ambient space $(\mathbb {F}_{q^{2}})_{n,m}$ and for both $\mathbb {F}_{q^{2}}$ -additive ...
Javier De La Cruz   +2 more
doaj   +3 more sources

A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds

open access: diamondДифференциальная геометрия многообразий фигур
From 1950s, it is known that an almost contact metric structure is in­duced on an arbitrary oriented hypersurface in an almost Hermitian mani­fold. In accordance with the definition, an almost Hermitian manifold satisfies the axiom of almost contact ...
A. Abu-Saleem   +2 more
doaj   +2 more sources

Hermitian metrics with (anti-)self-dual Riemann tensor [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
Equations of (anti-)self-duality for the components of the LeviCivita connection of the Hermitian positive definite metric (not for the Riemann tensor) are compiled.
Leonid Krivonosov, Vyacheslav Luk'yanov
doaj   +1 more source

On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom

open access: yesДифференциальная геометрия многообразий фигур, 2021
It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface is ...
G.A. Banaru
doaj   +1 more source

Pseudo-hermitian random matrix models: General formalism

open access: yesNuclear Physics B, 2022
Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
doaj   +1 more source

Einstein's quantum elevator: Hermitization of non-Hermitian Hamiltonians via a generalized vielbein formalism

open access: yesPhysical Review Research, 2022
The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics. We present a systematic study of the vielbeinlike formalism which transforms the Hilbert space bundles of non-Hermitian systems into the conventional ones, rendering ...
Chia-Yi Ju   +5 more
doaj   +1 more source

Beyond PT-symmetry: Towards a symmetry-metric relation for time-dependent non-Hermitian Hamiltonians

open access: yesSciPost Physics Core, 2022
In this work we first propose a method for the derivation of a general continuous antilinear time-dependent (TD) symmetry operator I(t) for a TD non-Hermitian Hamiltonian H(t). Assuming H(t) to be simultaneously ρ(t)-pseudo-Hermitian and Ξ(t)-anti-pseudo-
Luís F. Alves da Silva, Rodrigo A. Dourado, Miled H. Y. Moussa
doaj   +1 more source

Nearly Sasakian Manifolds of Constant Type

open access: yesAxioms, 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
doaj   +1 more source

On Kähler-like and G-Kähler-like almost Hermitian manifolds

open access: yesComplex Manifolds, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
doaj   +1 more source

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