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Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry [PDF]
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
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Hermitian Rank Metric Codes and Duality [PDF]
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
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A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds
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
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Hermitian metrics with (anti-)self-dual Riemann tensor [PDF]
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
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On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom
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
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Pseudo-hermitian random matrix models: General formalism
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
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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
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Beyond PT-symmetry: Towards a symmetry-metric relation for time-dependent non-Hermitian Hamiltonians
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
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Nearly Sasakian Manifolds of Constant Type
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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On Kähler-like and G-Kähler-like almost Hermitian manifolds
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
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