Results 151 to 160 of about 998 (174)

A theorem on anti-invariant minimal submanifolds of an odd dimensional sphere

Acta Mathematica Hungarica, 1991
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M Kon
exaly   +3 more sources

Biharmonic anti-invariant submanifolds in Sasakian space forms

, 2007
The class of non-minimal biharmonic anti-invariant submanifolds in Sasakian space forms is investigated. A Sasakian space form is regarded as an odd dimensional analogue of a complex space form and is among the most important contact metric manifolds. Two main purposes are achieved in the paper.
MURATHAN, CENGİZHAN, ARSLAN, KADRİ, EZENTAŞ, RIDVAN, Toru, Sasahara   +3 more
openaire   +3 more sources

Anti-invariant submanifolds of locally decomposable golden Riemannian manifolds

, 2020
Summary: In this paper, we give some properties of anti-invariant submanifolds of a golden Riemannian manifold. We obtain some necessary conditions for any submanifold in a locally decomposable golden Riemannian manifold to be anti-invariant. In these conditions, we also show that the submanifold is totally geodesic.
Gök, M., Kiliç, E., Keleş, S.
openaire   +3 more sources

Some characterizations of anti-invariant submanifolds of trans-sasakian manifolds

Asian-European Journal of Mathematics, 2021
The object of this paper is to study anti-invariant submanifolds of trans-Sasakian manifolds. We characterize such submanifolds on the basis of parallelism, semi-parallelism and pseudo parallelism of the second fundamental form of the submanifolds. We also characterize totally umbilical anti-invariant submanifolds of trans-Sasakian manifolds. Existence
A. Sarkar, Pradip Bhakta, Matilal Sen
openaire   +1 more source

On anti-invariant submanifolds in Sasakian manifolds with vanishing contact Bochner curvature tensor

Publicationes Mathematicae Debrecen, 2022
Using scalar curvature estimates the author derives sufficient conditions for minimal anti-invariant submanifolds of Sasakian manifolds with vanishing contact Bochner curvature tensor to be totally geodesic.
openaire   +2 more sources

On Invariant Submanifolds of a Nearly Trans-Sasakian Manifold

Arabian Journal for Science and Engineering, 2011
In this paper, invariant submanifolds of a nearly trans-Sasakian manifold are studied. Necessary and sufficient conditions are given to make a submanifold of a nearly trans-Sasakian manifold an invariant submanifold.
R. Sari, A. Turgut Vanli, Vanli, AYSEL, Sari, R.   +3 more
exaly   +2 more sources

On anti-invariant submanifolds of cosymplectic manifolds

1983
Let M be a \((2m+1)\)-dimensional cosymplectic manifold, i.e. M has a normal almost contact metric structure (\(\Phi\),\(\xi\),\(\eta\),g) for which both the 1-form \(\eta_ i\) and the 2-form \(\Phi_{ji}\) are closed. For such a structure the notions of vanishing cosymplectic Bochner curvature tensor, constant \(\Phi\)-holomorphic sectional curvature ...
openaire   +2 more sources

Impact of almost $\eta$-Ricci-Bourguignon solitons on anti-invariant submanifolds of trans-Sasakian manifolds coupled with generalized symmetric non-metric connection of type $(\alpha,\beta)$

Uzbek Mathematical Journal
We classify almost $\eta$-Ricci-Bourguignon solitons on anti-invariant submanifolds of trans-Sasakian manifolds admitting a generalized symmetric non-metric connection of type $(\alpha,\beta)$. Certain results of such solitons on submanifolds of trans-Sasakian manifolds with respect to a generalized symmetric non-metric connection (GSNM) of type ...
Rajesh Mishra, Sunil Yadav
openaire   +1 more source

ANTI-INVARIANT SUBMANIFOLDS

Bulletin of the London Mathematical Society, 1979
openaire   +1 more source

Conformal η-Ricci soltons on anti-invariant submanifold of LP-Kenmotsu manifold endowed with the Zamkovoy connection

The object of the present paper is to study anti-invariant submanifolds of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifold) with respect to the Zamkovoy connection. We prove that if an anti-invariant submanifold M of LP-Kenmotsu manifold contains a conformal Ricci soliton with collinear Reeb vector field, then M is η-Einstein.
Mandal, Abhijit, Yıldırım, Mustafa
openaire   +1 more source