On submanifolds in a Riemannian manifold with golden structure

M Ahmad, MA Qayyoom - Turkish Journal of Mathematics and …, 2019 - dergipark.org.tr
A golden Riemannian structure (J,g) on a Riemannian manifold is given by a tensor field J of
type (1,1) satisfying the golden section relation J^2=J+I, and a pure Riemannian metric g …

Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds

J Kim, J Park, B Şahin - Mathematica Slovaca, 2023 - degruyter.com
It is known that the Golden space form may not be an Einstein manifold. In this paper, it is
shown that the condition to be Einstein for a Golden space form is equivalent to being …

WARPED PRODUCT SKEW SEMI-INVARIANT SUBMANIFOLDS OF LOCALLY GOLDEN RIEMANNIAN MANIFOLDS

M Ahmad, MA Qayyoom - Honam Mathematical Journal, 2022 - koreascience.kr
In this paper, we define and study warped product skew semi-invariant submanifolds of a
locally golden Riemannian manifold. We investigate a necessary and sufficient condition for …

A new class of Golden Riemannian manifold

G Beldjilali - International Electronic Journal of Geometry, 2020 - dergipark.org.tr
In this paper, we introduce a new class of almost Golden Riemannian structures and study
their essential examples as well as their fundamental properties. Next, we investigate a …

Hypersurfaces immersed in a golden Riemannian manifold

MA Qayyoom, M Ahmad - Afrika Matematika, 2022 - Springer
The purpose of this paper is to study properties of hypersurfaces of a Riemannian manifold
equipped with a golden structure. We discuss the necessary and sufficient conditions for a …

Non-invariant submanifolds of locally decomposable golden Riemannian manifolds

M Gök, E Kılıç - Arabian Journal of Mathematics, 2021 - Springer
In this paper, we investigate any non-invariant submanifold of a locally decomposable
golden Riemannian manifold in the case that the rank of the set of tangent vector fields of the …

s-Golden manifolds

B Gherici - Mediterranean Journal of Mathematics, 2019 - Springer
In this paper, we introduce a new class of almost Golden Riemannian manifolds and we
construct a concrete example. Then, we are particularly interested in two more special types …

[PDF][PDF] Golden para-contact metric manifolds

G Beldjilali, H Bouzir - Commun. Korean Math. Soc, 2022 - researchgate.net
The purpose of the present paper is to introduce a new class of almost para-contact metric
manifolds namely, Golden para-contact metric manifolds. Then, we are particularly …

CR-Lightlike Submanifolds of a Golden Semi-Riemannian Manifold

M Ahmad, MA Qayyoom - arXiv preprint arXiv:2210.10445, 2022 - arxiv.org
In this paper, we define and study CR-lightlike submanifolds of a golden semi-Riemannian
manifold. We investigate some properties of geodesic CR-submanifolds of a golden semi …

[PDF][PDF] Geometry of submanifolds of locally metallic Riemannian manifolds

M Ahmad, MA Qayyoom - Ganita, 2021 - researchgate.net
The purpose of present paper is to focus on some properties of submanifolds of locally
metallic Riemannian manifolds. A Riemannian manifold (M, J, g) is called a locally metallic …