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The aim of our paper is to focus on some properties of slant and semi-slant submanifolds of metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant or semi-slant submanifolds in metallic or Golden…

Differential Geometry · Mathematics 2025-08-04 Cristina E. Hretcanu , Adara M. Blaga

In this paper, we study the existence of proper warped product submanifolds in metallic (or Golden) Riemannian manifolds and we discuss about semi-invariant, semi-slant and, respectively, hemi-slant warped product submanifolds in metallic…

Differential Geometry · Mathematics 2025-08-04 Cristina E. Hretcanu , Adara M. Blaga

The Metallic Ratio is fascinating topic that continually generated news ideas. A Riemannian manifold endowed with a Metallic structure will be called a Metallic Riemannian manifold. The main purpose of the present paper is to study the…

Differential Geometry · Mathematics 2018-04-05 Feyza Esra Erdoğan

The aim of our paper is to focus on some properties of submanifolds in Riemannian manifolds endowed with endomorphisms that generalize the Golden Riemannian structure, named metallic Riemannian structures. We focus on the properties of the…

Differential Geometry · Mathematics 2025-08-04 Cristina E. Hretcanu , Adara M. Blaga

Our aim in this paper is to investigate some types of lightlike submanifolds in metallic semi-Riemannian manifolds. We study invariant and screen semi-invariant lightlike submanifolds of metallic semi-Riemannian manifolds and give examples.…

General Mathematics · Mathematics 2018-11-14 Bilal Eftal Acet , Feyza Esra Erdoğan , Selcen Yüksel Perktaş

Properties of invariant, anti-invariant and slant isometrically immersed submanifolds of metallic Riemannian manifolds are given with a special view towards the induced $\Sigma$-structure. Examples of such metallic manifolds are also given.

Differential Geometry · Mathematics 2025-08-04 Adara M. Blaga , Cristina E. Hretcanu

In this paper, we study slant submanifolds of Riemannian manifolds with Golden structure. A Riemannian manifold $(\tilde{M},\tilde{g},{\varphi})$ is called a Golden Riemannian manifold if the $(1,1)$ tensor field ${\varphi}$ on $\tilde{M}$…

Differential Geometry · Mathematics 2020-06-11 Oguzhan Bahadır , Siraj Uddin

The Golden Ratio is fascinating topic that continually generated news ideas. A Riemannian manifold endowed with a Golden Structure will be called a Golden Riemannian manifold. The main purpose of the present paper is to study the geometry…

Differential Geometry · Mathematics 2018-08-15 Feyza Esra Erdoğan , Cumali Yildirim , Esra Karatas

Let F be a Riemannian submersion from an almost Hermitian manifold (M; gM; J) onto a Riemannian manifold (N; gN). We introduce the notion of the semi-slant submersion. And then we obtain some properties about it. In particular, we give some…

Differential Geometry · Mathematics 2012-06-08 Kwang-Soon Park , Rajendra Prasad

In this paper we study the hemi-slant submanifolds of cosymplectic manifolds. Necessary and sufficient conditions for distributions to be integrable are worked out. Some important results are obtained in this direction.

Differential Geometry · Mathematics 2016-03-07 Mehraj Ahmad Lone , Mohamd Saleem Lone , Mohammad Hasan Shahid

In this paper, we study some properties of warped product pointwise bi-slant submanifolds in locally metallic Riemannian manifolds and we construct some examples in Euclidean spaces.

Differential Geometry · Mathematics 2021-09-14 Cristina E. Hretcanu , Adara M. Blaga

In our article, we introduce and study lightlike hypersurfaces of a metallic semi-Riemannian manifold. We examine some geometric properties of invariant lightlike hypersurfaces. We show that the induced structure on an invariant lightlike…

Differential Geometry · Mathematics 2018-04-05 Bilal Eftal Acet

Let F be a Riemannian submersion from an almost Hermitian manifold (M; gM; J) onto a Riemannian manifold (N; gN). We introduce the notion of the v-semi-slant submersion. And then we obtain some properties on it. In particular, we give some…

Differential Geometry · Mathematics 2012-06-08 Kwang-Soon Park

In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution which is involved in the definition of hemi-slant submanifold is integrable and give some…

Differential Geometry · Mathematics 2014-05-27 Hakan Mete Taştan , Fatma Özdemir

In this paper, we derive some important optimal relationships for bi-slant submanifolds in metallic Riemannian product space forms enriching the understanding of their geometric properties and deepening the connection between intrinsic and…

Differential Geometry · Mathematics 2025-04-18 Harmandeep Kaur , Gauree Shanker

The main purpose of the present paper is to study the geometry of screen transversal lightlike submanifolds and radical screen transversal lightlike submanifolds and screen transversal anti-invariant lightlike submanifolds of Golden…

Differential Geometry · Mathematics 2019-05-22 Feyza Esra Erdoğan

In the present paper, we study the hemi-slant submanifolds of nearly Kaehler manifolds. We study the integrability of distributions involved in the definition of hemi-slant submanifolds. some results are worked out on totally umbilical…

Differential Geometry · Mathematics 2016-03-07 Mehraj Ahmad Lone , Mohammad Hassan Shahid

This research work introduces the structure of invariant and screen semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold with a quarter symmetric non-metric connection, elaborated with examples. It delves into the…

Differential Geometry · Mathematics 2023-10-19 Jasleen Kaur , Rajinder Kaur

In the present paper, we introduce bi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of invariant, anti-invariant, semi-invariant, slant, semi-slant and hemi-slant Riemannian submersions. We…

General Mathematics · Mathematics 2020-03-10 Cem Sayar , Mehmet Akif Akyol , Rajendra Prasad

We study some properties of pointwise $k$-slant submanifolds of almost Hermitian manifolds with a special view towards K\"{a}hler manifolds. In particular, we characterize the integrability of the component distributions, treating also the…

Differential Geometry · Mathematics 2025-08-04 Adara M. Blaga , Dan Radu Latcu
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