Results 1 to 10 of about 468 (64)

A basic inequality for submanifolds in a cosymplectic space form [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 539-547, 2003., 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 extrinsic invariant, namely, squared mean curvature on the other side.
Jeong-Sik Kim, Jaedong Choi
wiley   +6 more sources

The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure [PDF]

open access: yesPubl. Inst. Math. 94 (108) (2013), 31-42, 2014
We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized. Certain curvature properties of this connection are found.
Olszak, Zbigniew
arxiv   +3 more sources

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

open access: yesOpen Mathematics, 2023
The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin   +4 more
doaj   +1 more source

Biharmonic almost complex structures

open access: yesForum of Mathematics, Sigma, 2023
This project uses methods in geometric analysis to study almost complex manifolds. We introduce the notion of biharmonic almost complex structure on a compact almost Hermitian manifold and study its regularity and existence in dimension four.
Weiyong He
doaj   +1 more source

Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

open access: yesOpen Mathematics, 2022
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin   +3 more
doaj   +1 more source

Ricci ϕ-invariance on almost cosymplectic three-manifolds

open access: yesOpen Mathematics, 2023
Let M3{M}^{3} be a strictly almost cosymplectic three-manifold whose Ricci operator is weakly ϕ\phi -invariant. In this article, it is proved that Ricci curvatures of M3{M}^{3} are invariant along the Reeb flow if and only if M3{M}^{3} is locally ...
Pan Quanxiang
doaj   +1 more source

Semi-invariant warped product submanifolds of cosymplectic manifolds

open access: yesJournal of Inequalities and Applications, 2012
In this article, we obtain the necessary and sufficient conditions that the semi-invariant submanifold to be a locally warped product submanifold of invariant and anti-invariant submanifolds of a cosymplectic manifold in terms of canonical structures T ...
M. Khan, S. Uddin, R. Sachdeva
semanticscholar   +2 more sources

Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators

open access: yesOpen Mathematics, 2020
In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ3(−1){{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed ...
Pan Quanxiang, Wu Hui, Wang Yajie
doaj   +1 more source

Semi-invariant warped product submanifolds of almost contact manifolds

open access: yesJournal of Inequalities and Applications, 2012
In this article, we have obtained necessary and sufficient conditions in terms of canonical structure F on a semi-invariant submanifold of an almost contact manifold under which the submanifold reduced to semi-invariant warped product submanifold ...
F. Al-Solamy, M. Khan
semanticscholar   +2 more sources

A study on magnetic curves in trans-Sasakian manifolds

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic ...
Bozdağ Şerife Nur
doaj   +1 more source

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