Results 11 to 20 of about 791,975 (264)

Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

open access: yesAdvances in Mathematical Physics, 2021
In this paper, we give an estimate of the first eigenvalue of the Laplace operator on a Lagrangian submanifold Mn minimally immersed in a complex space form.
Lamia Saeed Alqahtani
doaj   +1 more source

Sequential Design-Space Reduction and Its Application to Hull-Form Optimization

open access: yesJournal of Marine Science and Engineering, 2023
Hull-form optimization is a complex engineering problem. Owing to the several numerical simulations and complex design-performance spaces, hull-form optimization is considered an inefficient process, which makes determining the global optimum difficult ...
Zu-Yuan Liu   +4 more
doaj   +1 more source

Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

open access: yesAdvances in Mathematical Physics, 2021
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi   +3 more
doaj   +1 more source

About nonlinear theory of two-cavity klystron with a drift space in the form of medium with complex permittivity [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2020
The purpose of this work is to construct an approximate nonlinear theory of a klystron amplifier in which a medium with complex conductivity or with metamaterials with negative permittivity is located between the input and output cavities instead of the ...
Funtov, Aleksandr Andreevich
doaj   +1 more source

Complex Hypersurfaces in an Indefinite Complex Space Form

open access: yesTokyo Journal of Mathematics, 1987
Let M be a complex hypersurface of index 2s in an \((n+1)\)-dimensional indefinite complex space form of constant holomorphic sectional curvature c(\(\neq 0)\) and of index \(2(s+a),\) where \(a=0\) or 1. The authors prove that M is Einstein if M satisfies \(R(X,Y)\cdot S=0\) where R and S denote the curvature tensor and the Ricci tensor, respectively.
AIYAMA, Reiko   +3 more
openaire   +2 more sources

A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds

open access: yesAxioms, 2019
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
doaj   +1 more source

Totally real submanifolds of a complex space form

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
Totally real submanifolds of a complex space form are studied. In particular, totally real submanifolds of a complex number space with parallel mean curvature vector are classified.
U-Hang Ki, Young Ho Kim
doaj   +1 more source

Note on the asymptotic structure of Kerr-Schild form

open access: yesJournal of High Energy Physics, 2022
The Kerr-Schild form provides a natural way of realizing the classical double copy that relates exact solutions in general relativity to exact solutions in gauge theory. In this paper, we examine the asymptotic structure of Kerr-Schild form.
Pujian Mao, Weicheng Zhao
doaj   +1 more source

Parallel submanifolds of complex space forms II [PDF]

open access: yesNagoya Mathematical Journal, 1983
This is a continuation of Part I, which appeared in this journal.In the previous paper I we have defined the following notions: orthogonal Jordan triple system (OJTS), orthogonal symmetric graded Lie algebra (OSGLA), orthogonal Jordan algebra (OJA), Hermitian symmetric graded Lie algebra (HSGLA).
openaire   +7 more sources

Feynman’s iϵ prescription, almost real spacetimes, and acceptable complex spacetimes

open access: yesJournal of High Energy Physics, 2022
Feynman’s iϵ prescription for quantum field theoretic propagators has a quite natural reinterpretation in terms of a slight complex deformation of the Minkowski space-time metric. Though originally a strictly flat-space result, once reinterpreted in this
Matt Visser
doaj   +1 more source

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