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Quasi-Einstein Hypersurfaces of Complex Space Forms

open access: yesAdvances in Mathematical Physics, 2020
Based on a well-known fact that there are no Einstein hypersurfaces in a nonflat complex space form, in this article, we study the quasi-Einstein condition, which is a generalization of an Einstein metric, on the real hypersurface of a nonflat complex ...
Xuehui Cui, Xiaomin Chen
doaj   +3 more sources

Real hypersurface of a complex space form [PDF]

open access: yesNew Trends in Mathematical Science, 2016
The purpose of the present paper is to give characterization of real hyper- surface of a complex space form. We find conditions for these hypersurfaces to be phi- symmetric and to have eta- parallel curvature tensor.
NAGARAJA, H.G., SAVITRI SHASHIDAR, .
core   +3 more sources

On the $$\Delta $$-property for complex space forms [PDF]

open access: yesAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2021
Inspired by the work of Z. Lu and G. Tian [8], A. Loi, F. Salis and F. Zuddas address in [5] the problem of studying those Kähler manifolds satisfying the $Δ$-property, i.e. such that on a neighborhood of each of its points the $k$-th power of the Kähler Laplacian is a polynomial function of the complex Euclidean Laplacian, for all positive integer $k$.
openaire   +3 more sources

About theory of extended interaction klystron and drift space in the form of medium with complex permittivity [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2021
Purpose of this work is to construct a theory of extended interaction klystron with ordinary distributed resonators, but with a drift space in the form of medium with complex permittivity. Methods.
Funtov, Aleksandr Andreevich
doaj   +1 more source

Optimal Inequalities for Hemi-Slant Riemannian Submersions

open access: yesMathematics, 2022
In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case
Mehmet Akif Akyol   +3 more
doaj   +1 more source

Differential Geometry of Submanifolds in Complex Space Forms Involving δ-Invariants

open access: yesMathematics, 2022
One of the fundamental problems in the theory of submanifolds is to establish optimal relationships between intrinsic and extrinsic invariants for submanifolds.
Bang-Yen Chen   +2 more
doaj   +1 more source

Complex space forms immersed in complex space forms [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
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.
openaire   +1 more source

Pointwise Hemislant Submanifolds in a Complex Space Form

open access: yesJournal of Mathematics, 2023
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
doaj   +1 more source

Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications

open access: yesMathematics, 2022
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
doaj   +1 more source

CR-SUBMANIFOLDS OF A COMPLEX SPACE FORM [PDF]

open access: yesJournal of Differential Geometry, 1981
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
openaire   +2 more sources

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