Complex space forms immersed in complex space forms [PDF]
We determine all the isometric immersions of complex space forms into complex space forms. Our result can be considered as the local version of a well-known result of Calabi.
Nakagawa, H., Ogiue, K.
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Pointwise Hemislant Submanifolds in a Complex Space Form
In this paper, pointwise hemislant submanifolds were introduced in a Kahler manifold. The integrability conditions for the distributions which are involved in the definition of a pointwise hemislant submanifold were investigated.
Noura Alhouiti
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Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient ...
Ali H. Alkhaldi +3 more
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CR-SUBMANIFOLDS OF A COMPLEX SPACE FORM [PDF]
Publisher Summary This chapter presents some fundamental formulas for submanifolds of a Kaehlerian manifold, and in particular for those of a complex space form, and discusses the CR-submanifolds and generic submanifolds. The chapter discusses various theorems related to CR-submanifolds. Theorem 1 is fundamental in the study of CR-submanifolds.
Bejancu, Aurel +2 more
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A certain tensor on real hypersurfaces in a nonflat complex space form [PDF]
summary:In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure $(\phi , \xi , \eta , g)$ induced from the ambient space.
Okumura, Kazuhiro
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Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms
The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and
Meraj Ali Khan, Ibrahim Aldayel
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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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