Recent advances in metallic Riemannian geometry: a comprehensive review

BY Chen, MA Choudhary, A Perween - arXiv preprint arXiv:2408.05318, 2024 - arxiv.org
Metallic structures, introduced by V. de Spinadel in 2002, opened a new avenue in
differential geometry. Building upon this concept, CE Hre\c {t} canu and M. Crasmareanu …

Submanifolds of almost-complex metallic manifolds

A Torun, M Özkan - Mathematics, 2023 - mdpi.com
Our paper aims to study the geometry of submanifolds of an almost-complex metallic
manifold. We give an example of this type of manifold, and reveal the fundamental …

The (α,p)-Golden Metric Manifolds and Their Submanifolds

CE Hretcanu, M Crasmareanu - Mathematics, 2023 - mdpi.com
The notion of a golden structure was introduced 15 years ago by the present authors and
has been a constant interest of several geometers. Now, we propose a new generalization …

Classification of pure metallic metric geometries

F Etayo, A Defrancisco, R SANTAMARia - Carpathian Journal of …, 2022 - JSTOR
Metallic Riemannian manifolds with null trace and metallic Norden manifolds are
generalizations of almost product Riemannian and almost golden Riemannian manifolds …

On the Geometry of Semi-Invariant Submanifolds in (α, p)-Golden Riemannian Manifolds.

CE Hreţcanu… - Mathematics (2227-7390), 2024 - search.ebscohost.com
The main aim of this paper is to study some properties of submanifolds in a Riemannian
manifold equipped with a new structure of golden type, called the (α, p)-golden structure …

[PDF][PDF] Metallic deformation on para-Sasaki-like para-Norden manifold

RC Akpınar, EK Kansu - AIMS Mathematics, 2024 - aimspress.com
The main goal of this paper is to define the concept of metallic deformation through a
relation between the metallic structure and paracontact structure on an almost paracontact …

Some notes on metallic Kähler manifolds

A Gezer, F Topcuoglu, DU Chand - Filomat, 2021 - doiserbia.nb.rs
The present paper deals with metallic Kähler manifolds. Firstly, we define a tensor H which
can be written in terms of the (0, 4)-Riemannian curvature tensor and the fundamental 2 …

[PDF][PDF] The (o, p)-Golden Metric Manifolds and Their Submanifolds

CE Hretcanu, M Crasmareanu - 2023 - math.uaic.ro
The notion of a golden structure was introduced 15 years ago by the present authors and
has been a constant interest of several geometers. Now, we propose a new generalization …

ON THE ADAPTED CONNECTIONS ON KAEHLER-NORDEN SILVER MANIFOLDS

S Mohammad, PK Pandey - Honam Mathematical Journal, 2021 - koreascience.kr
In this paper, we study almost complex Norden Silver manifolds and Kaehler-Norden Silver
manifolds. We define adapted connections of first, second and third type to an almost …

[PDF][PDF] On the geometry of complex metallic Norden manifolds

AM Blaga, R Kumar, R Rani - structure, 2022 - researchgate.net
We study almost complex metallic Norden manifolds and their adapted connections with
respect to an almost complex metallic Norden structure. We study various connections like …