Results 11 to 20 of about 1,099 (217)

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

open access: yesKarpatsʹkì 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   +2 more sources

ON AN INVARIANT SUBMANIFOLD OF HYPERBOLIC SASAKIAN MANIFOLDS [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2017
The object of the present paper is to study an invariant submanifold of hyperbolic Sasakian maifolds. In this paper, we consider semiparallel and 2-semiparallel invariant submanifolds of hyperbolic Sasakian manifold and it is shown that these submanifolds are totally geodesic.
Pandey, Shravan Kumar, Singh, Ram Nawal
openaire   +2 more sources

INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS [PDF]

open access: yesGlasgow Mathematical Journal, 2008
AbstractInvariant submanifolds of contact (κ, μ)-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (κ, μ)-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (κ, μ)-manifold, μ ≠ 0, such that the characteristic vector field is tangent to the ...
CAPPELLETTI MONTANO, BENIAMINO   +2 more
openaire   +4 more sources

A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds [PDF]

open access: yesAbstract 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   +2 more sources

Invariant submanifolds in golden Riemannian manifolds

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
Summary: In this paper, we study invariant submanifolds of a golden Riemannian manifold with the aid of induced structures on them by the golden structure of the ambient manifold. We demonstrate that any invariant submanifold in a locally decomposable golden Riemannian manifold leaves invariant the locally decomposability of the ambient manifold.
Kılıç, Erol   +2 more
openaire   +5 more sources

Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]

open access: yesSurveys in Mathematics and its Applications, 2006
We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
doaj   +1 more source

Semi-invariant submanifolds of (g, F)-manifolds [PDF]

open access: yesSurveys in Mathematics and its Applications, 2010
We introduce (g,F)-manifolds and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR-submanifolds of Kaehler manifolds.
Novac-Claudiu Chiriac
doaj   +2 more sources

Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]

open access: yesMathematica Bohemica, 2022
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection.
Payel Karmakar
doaj   +1 more source

Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds

open access: yesCubo, 2023
In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi   +3 more
doaj   +1 more source

Certain results on invariant submanifolds of para-kenmotsu manifolds [PDF]

open access: yes, 2021
The purpose of this paper is to study invariant pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel submanifold of a para-Kenmotsu manifold and I obtained some equivalent conditions of invariant submanifolds of para ...
Atçeken, Mehmet
core   +1 more source

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