Results 31 to 40 of about 369 (176)

Estimates for a function on almost Hermitian manifolds

open access: yesComplex Manifolds, 2021
We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
doaj   +1 more source

The differential geometry of almost Hermitian almost contact metric submersions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
Three types of Riemannian submersions whose total space is an almost Hermitian almost contact metric manifold are studied. The study is focused on fundamental properties and the transference of structures.
T. Tshikuna-Matamba
doaj   +1 more source

GENERELIZED CONHARMONIC CURVATURE TENSOR OF NEARLY KAHLER MANIFOLD

open access: yesTikrit Journal of Pure Science, 2018
In this paper we study the relationship between tensor algebraic curvature tensor, and General conharmonic curvature tensor of Nearly Kahler manifold, i. e. it has a classical symmetry properties of the Riemann carvatur tensor.
Ali A. Shihab, Dhabiaʼa M. Ali
doaj   +1 more source

Overcoming the Phase Discontinuity Problem in RIS Optimization: A Robust and Scalable Phase‐Aware Deep Regression Framework via Hybrid CNN–LSTM Architecture

open access: yesAdvanced Intelligent Systems, EarlyView.
The phase discontinuity problem—where the cyclic nature of phase angles causes catastrophic errors near the ±π boundary—is a fundamental obstacle in learning‐based reconfigurable intelligent surface (RIS) optimization. A phase‐aware hybrid CNN–LSTM framework resolves this by decomposing phase predictions into sine–cosine components, mapping circular ...
Seda Savaşçı Şen   +3 more
wiley   +1 more source

On nonexistence of Kenmotsu structure on аст-hypersurfaces of cosymplectic type of a Kählerian manifold

open access: yesДифференциальная геометрия многообразий фигур, 2019
Almost contact metric (аст-)structures induced on oriented hypersur­fa­ces of a Kählerian manifold are considered in the case when these аст-struc­tures are of cosymplectic type, i. e. the contact form of these struc­tu­res is closed. As it is known, the
G. Banaru
doaj   +1 more source

Almost Complex and Hypercomplex Norden Structures Induced by Natural Riemann Extensions

open access: yesMathematics, 2022
The Riemann extension, introduced by E. K. Patterson and A. G. Walker, is a semi-Riemannian metric with a neutral signature on the cotangent bundle T∗M of a smooth manifold M, induced by a symmetric linear connection ∇ on M.
Cornelia-Livia Bejan, Galia Nakova
doaj   +1 more source

Quantization of Polaritons Confined in Dielectric Structures

open access: yesLaser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani   +4 more
wiley   +1 more source

Neutral Slant Submanifolds of a Para-Kähler Manifold

open access: yesAbstract and Applied Analysis, 2013
We define and study both neutral slant and semineutral slant submanifolds of an almost para-Hermitian manifold and, in particular, of a para-Kähler manifold. We give characterization theorems for neutral slant and semi-neutral slant submanifolds. We also
Yılmaz Gündüzalp
doaj   +1 more source

Yano F structures and extended supersymmetry

open access: yesJournal of High Energy Physics, 2022
It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold ...
Ulf Lindström
doaj   +1 more source

Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S6(1)

open access: yesMathematics, 2022
It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler. If M is a hypersurface of an almost Hermitian manifold with a unit normal vector field N, the tangent vector field ξ=−JN is said to be characteristic or ...
Miroslava Antić, Djordje Kocić
doaj   +1 more source

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