Recent developments on Chen–Ricci inequalities in differential geometry

BY Chen, AM Blaga - Geometry of Submanifolds and Applications, 2024 - Springer
One of the most fundamental interests in submanifold theory is to establish simple
relationships between the main extrinsic invariants and the main intrinsic invariants of …

Point-wise slant submanifolds in almost contact geometry

MBK BALGESHIR - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
In this paper, we introduce point-wise slant submanifolds of almost contact and almost
contact 3-structure manifolds. We characterize them, give some examples, and obtain …

[PDF][PDF] Inequalities on the Ricci curvature

A Mihai - J. Math. Inequal, 2015 - researchgate.net
We improve Chen-Ricci inequalities for a Lagrangian submanifold Mn of dimension n (n⩾ 2)
in a 2n-dimensional complex space form M2n (4c) of constant holomorphic sectional …

Even-Dimensional Slant Submanifolds of a C_5 ⊕ C_ 12 C 5⊕ C 12-Manifold

S de Candia, M Falcitelli - Mediterranean Journal of Mathematics, 2017 - Springer
We studied isometric immersions into an almost contact metric manifold which falls in the
Chinea–Gonzalez class C_5 ⊕ C_ 12 C 5⊕ C 12, under the hypothesis that the Reeb …

[PDF][PDF] Hamilton Equations on a Contact 5-Manifolds

Z KASAP - Elixir International Journal, Math, 2016 - academia.edu
It is well known that a dynamical system is a concept in mathematics where a fixed rule
describes how a point in a geometrical space depends on time. A mathematical model is a …

Chen-like Inequalities on Submanifolds of Cosymplectic 3-Space Forms

M Gülbahar, E Erkan - Adıyaman University Journal of Science, 2023 - dergipark.org.tr
In this paper, some equalities and inequalities involving the Riemannian curvature
invariants are obtained on 3-semi slant submanifolds of cosymplectic 3-space forms …

Slant, Semi-slant and Pointwise Slant Submanifolds of 3-Structure Manifolds

MB Kazemi Balgeshir - Contact Geometry of Slant Submanifolds, 2022 - Springer
Slant, Semi-slant and Pointwise Slant Submanifolds of 3-Structure Manifolds | SpringerLink
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[PDF][PDF] Conformal Hamiltonian Mechanical Equations on Contact 9-Manifolds

IOA Albudawe, IYIA Alrhman - Journal of Environmental …, 2021 - scholar.archive.org
In this study, we concluded the Hamiltonian equations on (ℳ9, λ, XH), being a model. Finally
introduce, some geometrical and physical results on the related mechanic systems have …

Ricci and scalar curvatures of hemi-slant submanifolds in 3-Sasakian space forms

MBK Balgeshir, S Uddin, ST Ahmadsaryi - Journal of Mathematical …, 2021 - ijmex.com
Abstract‎ In this paper‎,‎ we study hemi-slant submanifolds of 3-Sasakian manifolds‎.‎ First‎,‎ we
obtain some new results in terms of the operators $ T_i $ and $ n_i $ and then by using …

[PDF][PDF] Dynamics Equations with Almost Complex Structures on Contact 5-Manifolds

Z Kasap - academia.edu
Contact geometry is the odd-dimensional analogue of symplectic geometry with certain
manifolds of odd dimension. It is close to symplectic geometry and like the latter it originated …