Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold

MNI Khan - Chaos, Solitons & Fractals, 2021 - Elsevier
It has been found that an almost complex structure of a contact metric manifold on frame
bundle (FM, g D, J) is an almost Hermitian manifold. The derivative and coderivative of the …

Novel theorems for metallic structures on the frame bundle of the second order

MNI Khan - Filomat, 2022 - doiserbia.nb.rs
It is well known that 'an almost complex structure'J that is J2=− I on the manifold M is called
'an almost Hermitian manifold'(M, J, G) if G (JX, JY)= G (X, Y) and proved that (F2M, JD, GD) …

Integrability of the metallic structures on the frame bundle

MN Islam Khan - Kyungpook Mathematical Journal, 2021 - koreascience.kr
Earlier investigators have made detailed studies of geometric properties such as
integrability, partial integrability, and invariants, such as the fundamental 2-form, of some …

Alternative equations for horizontal lifts of the metallic structures from manifold onto tangent bundle

MNI Khan, MA Choudhary… - Journal of …, 2022 - Wiley Online Library
We explore “the horizontal lift” of the structure J satisfying J2− αJ− βI= 0 and establish that it
as a kind of metallic structure. An analysis of Nijenhuis tensor of metallic structure JH is …

[PDF][PDF] Lifts of metallic structure on a cross-section

MNI Khan, UC De - Filomat, 2022 - doiserbia.nb.rs
Lifts of Metallic Structure on a Cross-Section Page 1 Filomat 36:18 (2022), 6369–6373 https://doi.org/10.2298/FIL2218369K
Published by Faculty of Sciences and Mathematics, University of Niš, Serbia Available at …

Proposed theorems for lifts of the extended almost complex structures on the complex manifold

MNI Khan - Asian-European Journal of Mathematics, 2022 - World Scientific
It is well known that the tensor field J of type (1, 1) on the manifold M is an almost complex
structure if J 2=− I, I is an identity tensor field and the manifold M is called the complex …

f (a, b)(3, 2, 1)-structures on manifolds

M Gök, E Kılıç, C Özgür - Journal of Geometry and Physics, 2021 - Elsevier
In this paper, we define and study two new structures on a differentiable manifold called by
us an f (a, b)(3, 2, 1)-structure and a framed f (a, b)(3, 2, 1)-structure as a generalization of …

Golden Riemannian manifolds having constant sectional curvatures and their submanifolds

F Şahin, B Şahin, FE Erdoğan - Mediterranean Journal of Mathematics, 2022 - Springer
Abstract We study Golden Riemannian manifolds having constant sectional curvatures. First
of all, we observed that if the Golden manifold has a constant (real) sectional curvature, then …

Characterizations of the Frame Bundle Admitting Metallic Structures on Almost Quadratic ϕ-Manifolds

MNI Khan, UC De, T Alam - Mathematics, 2023 - mdpi.com
In this work, we have characterized the frame bundle FM admitting metallic structures on
almost quadratic ϕ-manifolds ϕ 2= p ϕ+ q I− q η⊗ ζ, where p is an arbitrary constant and q is …

Metallic Structures for Tangent Bundles over Almost Quadratic ϕ-Manifolds

MNI Khan, SK Chaubey, N Fatima, A Al Eid - Mathematics, 2023 - mdpi.com
This paper aims to explore the metallic structure J 2= p J+ q I, where p and q are natural
numbers, using complete and horizontal lifts on the tangent bundle TM over almost …