Results 21 to 30 of about 126 (113)
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Recently, we have obtained Ricci curvature inequalities for skew CR‐warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space.
Ibrahim Al-Dayel +2 more
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A Study of Doubly Warped Product Immersions in a Nearly Trans‐Sasakian Manifold with Slant Factor
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans‐Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans‐Sasakian manifolds with some nontrivial examples in the support.
Ali H. Alkhaldi +4 more
wiley +1 more source
A General Inequality for CR‐Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR‐warped product submanifolds into a generalized Sasakian space form. Moreover, the inequality generalizes some inequalities for various ambient space forms.
Yanlin Li +3 more
wiley +1 more source
Geometric Mechanics on Warped Product Semi‐Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In this study, we develop a general inequality for warped product semi‐slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this.
Yanlin Li +3 more
wiley +1 more source
Characterizing Inequalities for Biwarped Product Submanifolds of Sasakian Space Forms
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The biwarped product submanifolds generalize the class of product submanifolds and are particular case of multiply warped product submanifolds. The present paper studies the biwarped product submanifolds of the type ST×ψ1S⊥×ψ2Sθ in Sasakian space forms S¯c, where ST, S⊥, and Sθ are the invariant, anti‐invariant, and pointwise slant submanifolds of S¯c.
Meraj Ali Khan +2 more
wiley +1 more source
Totally umbilical lightlike submanifolds
Kodai Mathematical Journal, 2003 In the paper under review the authors study the geometry of totally umbilical light-like submanifolds. First they recall some results for light-like submanifolds and their structure equations. Next they prove several new theorems on such submanifolds in semi-Riemannian manifolds of constant curvature.
Duggal, K. L., Jin, D. H.
openaire +3 more sources
TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD
Tamkang Journal of Mathematics, 1993 In the present paper we study totally umbilical CR-submanifolds of a Kaehler manifold. A classification theorem for a $D^\perp$-totally umbilical CR-submanifold is proved. The conditions under which a CR- submanifold becomes a CR-product are obtained, and finally a theorem for a CR-submanifold to be a proper CR-product is also ...
Khursheed Haider, S. M. +2 more
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Generic submanifolds of a locally conformal Kaehler manifold-II
International Journal of Mathematics and Mathematical Sciences, 1993 The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold.
M. Hasan Shahid, Kouei Sekigawa
doaj +1 more source
TOTALLY UMBILICAL SEMI-INVARIANT SUBMANIFOLDS AND CR-SUBMANIFOLDS OF A SASAKIAN MANIFOLD
Tamkang Journal of Mathematics, 1993 In the present paper, a classification theorem for totally um- bilical semi-invariant submanifold is established. CR-submanifolds of a Sasakian space form are studied in detail, and finally a theorem for a CR- submanifold of a Sasakian manifold to be a proper contact CR-product is proved.
Khurseed Haider, S. M. +2 more
openaire +3 more sources
Warped Product Pointwise Semi Slant Submanifolds of Sasakian Space Forms and their Applications
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this study, we attain some existence characterizations for warped product pointwise semi slant submanifolds in the setting of Sasakian space forms. Moreover, we investigate the estimation for the squared norm of the second fundamental form and further discuss the case of equality.
Nadia Alluhaibi +2 more
wiley +1 more source