Results 1 to 10 of about 64,924 (208)

On Kähler-like and G-Kähler-like almost Hermitian manifolds [PDF]

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   +5 more sources

Research on the Consensus Convergence Rate of Multi-Agent Systems Based on Hermitian Kirchhoff Index Measurement [PDF]

open access: yesEntropy
Multi-agent systems (MAS) typically model interaction topologies using directed or undirected graphs when analyzing consensus convergence rates. However, as system complexity increases, purely directed or undirected networks may be insufficient to ...
He Deng, Tingzeng Wu
doaj   +2 more sources

Plurisigned hermitian metrics

open access: yesTransactions of the American Mathematical Society, 2023
Let ( X , ω ) (X,\omega ) be a compact hermitian manifold of dimension n n . We study the asymptotic behavior of Monge-Ampère volumes ∫ X ( ω + d d c φ ) n
Daniele Angella   +2 more
openaire   +3 more sources

Hodge modules and singular hermitian metrics

open access: yesMathematische Zeitschrift, 2022
v2: 17 pages, final version, to appear in Math ...
Schnell, Christian, Yang, Ruijie
openaire   +3 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

Deformation of Hermitian metrics

open access: yesMathematical 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
openaire   +2 more sources

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

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