Results 51 to 60 of about 95 (90)

B.Y. CHEN INEQUALITIES FOR BI-SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS

Demonstratio Mathematica, 2003
Originally, B. Y. Chen's inequality gives a lower bound \(B(c,n,\tau,\| H\|)\) for the sectional curvature of an \(n\)-dimensional submanifold \(M\) of a space \(\widetilde M\) of constant curvature \(c\), where \(\tau\) and \(\| H\|\) are the scalar curvature and the length of the mean curvature normal of \(M\).
openaire   +1 more source

A study of bi-slant lightlike submanifolds of PNsR-manifolds

Filomat
The aim of this paper is to define new class of slant submanifolds of poly-Norden semi-Riemannian manifolds (PNsR-manifolds) includes slant, semi-slant and CR-lightlike submanifolds as its subcases which called bi-slant submanifolds. We present necessary and sufficient conditions for the distri-butions included in the definition of such lightlike ...
openaire   +1 more source

Pointwise bi-slant doubly warped product submanifolds in para-Kaehler manifolds

Filomat
In this article, we consider pointwise slant and pointwise bi-slant submanifolds whose ambient spaces are para-Kaehler manifolds. We prove that there exist pointwise bi-slant K =k2 K?1 ? k1 K?2 non-trivial doubly warped product type 1-2 submanifolds whose ambient spaces are para-Kaehler manifolds by constructing examples.
Sedat Ayaz, Yılmaz Gündüzalp
openaire   +1 more source

Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds

Hacettepe Journal of Mathematics and Statistics
In this paper we introduce the concept of pointwise bi-slant submanifolds of locally product Riemannian manifolds and studied warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. We obtain some characterization results for warped products pointwise bi-slant submanifolds.
Prınce Majeed, Mehraj Lone
openaire   +3 more sources

B. Y. Chen's inequalities for bi-slant submanifolds in cosymplectic space forms

Sarajevo Journal of Mathematics, 2013
In this paper we obtain B. Y. Chen's inequalities for a bi- slant submanifold M of a cosymplectic space form M (c), when the struc- ture vector field of the ambient space is tangent to M.
openaire   +1 more source

Optimal casorati inequalities on bi-slant submanifolds of generalized sasakian space forms

Tamkang Journal of Mathematics, 2018
In this paper, we use T Oprea's optimization method to establish some optimal Casorati inequalities, which involve the normalized scalar curvature for bi-slant submanifolds of generalized Sasakian space forms. In the continuation, we show that in both cases, the equalities hold if and only if submanifolds are invariantly quasi-umbilical.
openaire   +2 more sources

Bounds for generalized normalized δ-Casorati curvatures for Bi-slant submanifolds in T-space forms

Filomat, 2018
In this paper, we prove the inequality between the generalized normalized ?-Casorati curvatures and the normalized scalar curvature for the bi-slant submanifolds in T-space forms and consider the equality case of the inequality. We also develop same results for semi-slant submanifolds, hemi-slant submanifolds, CR-submanifolds, slant ...
openaire   +2 more sources

Geometry of Warped Product Pointwise Bi-slant Submanifolds of Conformal Kenmotsu Manifolds

Turkish Journal of Mathematics and Computer Science
In this paper, we explore the concept of pointwise bi-slant submanifolds within conformal Kenmotsu manifolds. We obtain some results for warped product pointwise bi-slant submanifolds of conformal Kenmotsu manifolds. We establish the characterization theorem for warped product pointwise bi-slant submanifolds.
Mehraj Lone, Prınce Majeed
openaire   +1 more source

Semi-slant and bi-slant submanifolds of almost contact metric 3-structure manifolds

TURKISH JOURNAL OF MATHEMATICS, 2013
In this paper we introduce the notions of semi-slant and bi-slant submanifolds of an almost contact 3-structure manifold. We give some examples and characterization theorems about these submanifolds. Moreover, the distributions of semi-slant submanifolds of 3-cosymplectic and 3-Sasakian manifolds are studied.
openaire   +1 more source

General improved Chen’s inequality for Warped product bi-slant submanifolds in Kenmotsu manifolds

Filomat
Recently, B.Y. Chen established a relationship for the squared norm of the second fundamental form (an extrinsic invariant) of warped product bi-slant submanifolds of Kenmotsu manifolds in terms of the warping function (an intrinsic invariant). In this paper, we study warped product bi-slant submanfolds of Kenmotsu manifolds.
Yi Cao, Ximin Liu
openaire   +1 more source