Results 101 to 110 of about 1,183 (218)

Four-Dimensional CR Submanifolds of the Homogeneous Nearly Kähler Product Manifold ${\mathbb{S}}^3\times {\mathbb{S}}^3$

Mathematics
This article presents results on four-dimensional CR submanifolds of the homogeneous nearly Kähler product manifold S3×S3. In the research of CR submanifolds of S3×S3, the most important role in the classification is played by the action of the almost ...
Nataša Djurdjević
doaj   +1 more source

A basic inequality for submanifolds in a cosymplectic space form

International Journal of Mathematics and Mathematical Sciences, 2003
For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main ...
Jeong-Sik Kim, Jaedong Choi
doaj   +1 more source

ON SEMI-INVARIANT SUBMANIFOLDS OF ALMOST COMPLEX CONTACT METRIC MANIFOLDS [PDF]

, 2017
In this article we study semi-invariant submanifolds of almost complexcontact metric manifolds.We defined semi-invariant submanifolds of almostcomplex contact metric manifold and we have investigated semi-invariantsubmanifolds of almost complex contact ...
Yıldırım, Cumali, Erdoğan, Feyza Esra   +1 more
core  

Semi-Invariant Submanifolds of Almost $\alpha$-Cosymplectic $f$-Manifolds

Communications in Advanced Mathematical Sciences, 2020
In this paper, we have and study several properties of semi-invariant submanifolds of an almost $\alpha$-cosymplectic $f$-manifold. We give an example and investigate the integrability conditions for the distributions involved in the definition of a semi-
Ali İhsan Sivridağ, Selahattin Beyendi, Nesip Aktan   +2 more
doaj  

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2018
In the present paper,  we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
doaj   +1 more source

A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

Abstract and Applied Analysis, 2012
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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., Khan, V. A., Husain, S. I.   +2 more
openaire   +3 more sources

On invariant submanifolds of lorentzian para-sasakian manifolds

, 2009
We consider semiparallel and 2-semiparallel invariant submanifolds of Lorentzian para-Sasakian manifolds. We show that these submanifolds are totally geodesic.
Özgür, Cihan
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Screen Almost Semi-Invariant Lightlike Submanifolds of Indefinite Kaehler Manifolds

, 2022
In the present paper, we introduce screen almost semi-invariant (SASI) lightlike submanifolds of indefinite Keahler manifolds. We obtain the neccesary and sufficient condition for the induced connection to be a metric connection on SASI-lightlike ...
Yıldırım, Cumali, Kazan, Sema
core  

Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms

Axioms
In this paper, we investigate Chen’s δ-invariant for partially slant (PS) submanifolds of complex space forms. A PS-submanifold admits an orthogonal decomposition of the tangent bundle into a proper slant distribution and an arbitrary ambiguous ...
Md Aquib
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