Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms
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
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Sequential Design-Space Reduction and Its Application to Hull-Form Optimization
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
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Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
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
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About nonlinear theory of two-cavity klystron with a drift space in the form of medium with complex permittivity [PDF]
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
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Complex Hypersurfaces in an Indefinite Complex Space Form
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
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A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
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
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Totally real submanifolds of a complex space form
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
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Note on the asymptotic structure of Kerr-Schild form
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
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Parallel submanifolds of complex space forms II [PDF]
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).
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Feynman’s iϵ prescription, almost real spacetimes, and acceptable complex spacetimes
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
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