115 citations · 563 across the 48 of their papers we have counts for
15 papers · 1 filter
On the geometry of metallic pseudo-Riemannian structures
Adara M. Blaga, Antonella Nannicini
We generalize the notion of metallic structure in the pseudo-Riemannian setting, define the metallic Norden structure and study its integrability. We consider metallic maps between…
Generalized quasi-statistical structures
Adara M. Blaga, Antonella Nannicini
Given a non-degenerate -tensor field on a smooth manifold , we consider a natural generalized complex and a generalized product structure on the generalized tangent b…
Generalized metallic structures
Adara M. Blaga, Antonella Nannicini
We study the properties of a generalized metallic, a generalized product and a generalized complex structure induced on the generalized tangent bundle of by a metallic Riemanni…
Warped product submanifolds in metallic Riemannian manifolds
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, respec…
On the Geometry of Lightlike Submanifolds in Metallic Semi-Riemannian Manifolds
Feyza Esra Erdoğan, Selcen Yüksel Perktaş, Bilal Eftal Acet +1
In the present paper, we introduce screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds with its subclasses, namely screen transversal anti-invariant, ra…
Screen Transversal Lightlike Submanifolds of Golden Semi-Riemannian Manifolds
Feyza Esra Erdoğan
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 transve…
Bi--harmonic curves and hypersurfaces
Selcen Yüksel Perktaş, Adara Monica Blaga, Feyza Esra Erdoğan +1
In the present paper, we study bi--harmonic maps which generalize not only -harmonic maps, but also biharmonic maps. We derive bi--harmonic equations for curves in the Euc…
Hemi-slant submanifolds in metallic Riemannian manifolds
Cristina E. Hretcanu, Adara M. Blaga
The aim of our paper is to focus on some properties of hemi-slant submanifolds in metallic (and Golden) Riemannian manifolds. We give some characterizations for submanifolds to be…
Remarks on almost -Ricci solitons in -para Sasakian manifolds
Adara M. Blaga, Selcen Yuksel Perktas
We consider almost -Ricci solitons in -para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give an estimation of the Ricci cu…
Remarks on metallic warped product manifolds
Adara M. Blaga, Cristina E. Hretcanu
We characterize the metallic structure on the product of two metallic manifolds in terms of metallic maps and provide a necessary and sufficient condition for the warped product of…
Invariant, anti-invariant and slant submanifolds of a metallic Riemannian manifold
Adara M. Blaga, Cristina E. Hretcanu
Properties of invariant, anti-invariant and slant isometrically immersed submanifolds of metallic Riemannian manifolds are given with a special view towards the induced -structu…
A note on warped product almost quasi-Yamabe solitons
Adara M. Blaga
We consider almost quasi-Yamabe solitons in Riemannian manifolds, derive a Bochner-type formula in the gradient case and prove that under certain assumptions, the manifold is of co…
Slant and semi-slant submanifolds in metallic Riemannian manifolds
Cristina E. Hretcanu, Adara M. Blaga
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 sla…
Submanifolds in metallic Riemannian manifolds
Cristina E. Hretcanu, Adara M. Blaga
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 metall…
Harmonic aspects in an -Ricci soliton
Adara M. Blaga
We characterize -Ricci solitons in some special cases when the -form , which is the -dual of , is a harmonic or a Schrödinger-Ricci harmonic form. We als…