A. Blaga

activity

20072026

most citedSolitons and geometrical structures in a perfect fluid spacetime

115 citations · 563 across the 48 of their papers we have counts for

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50 papers · 1 filter

math.DG2026

Generalized Wintgen inequalities for submanifolds of conformally flat manifolds

Cihan Özgür, Adara M. Blaga

We obtain generalized Wintgen inequalities for submanifolds of conformally flat manifolds. As applications, we derive corresponding inequalities for submanifolds of Riemannian mani…

math.DG2025

On some special symmetries of a biwarped product-type 3-manifold

Adara M. Blaga

We investigate special Killing vector fields on 3-dimensional Riemannian manifolds of biwarped product-type. Starting from a diagonal metric on $R^{3}$ determined by two nont…

math.DG2025

On certain symmetries of $R^{3}$ with a diagonal metric

Adara M. Blaga

We determine Killing vector fields on the $3$ -dimensional space $R^{3}$ endowed with a special diagonal metric.

math.DG2025

Flat 3-manifolds with diagonal metrics and applications to warped products

Adara M. Blaga, Dan Radu Latcu

We provide necessary and sufficient conditions for a $3$ -dimensional submanifold of $R^{3}$ endowed with a diagonal metric to be flat. As applications, we characterize the fl…

math.DG2025

Constructing Ricci vector fields on $R^{2}$ with a diagonal metric

Adara M. Blaga

We put into light Ricci vector fields on $R^{2}$ endowed with a diagonal metric.

math.DG2024

On generalized plastic structures

Adara M. Blaga, Antonella Nannicini

We introduce the concept of generalized almost plastic structure, and, on a pseudo-Riemannian manifold endowed with two $(1, 1)$ -tensor fields satisfying some compatibility conditio…

math.DG2024★ 2 cited

Certain symmetries of $R^{2}$ with diagonal metrics

Adara M. Blaga

We put into light the Killing vector fields on $R^{2}$ endowed with a family of diagonal Riemannian metrics. According to certain restrictions on the Lamé coefficients, we co…

math.DG2024★ 1 cited

On some $3$ -dimensional almost $η$ -Ricci solitons with diagonal metrics

Adara M. Blaga

We study some properties of a $3$ -dimensional manifold with a diagonal Riemannian metric as an almost $η$ -Ricci soliton from the following points of view: under certain assumptions…

math.DG2023★ 7 cited

On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons

Adara M. Blaga

We provide conditions for a compact gradient hyperbolic Ricci and a compact gradient hyperbolic Yamabe soliton to be trivial, hence, the manifold to be an Einstein manifold in the…

math.DG2023

Some properties of pointwise $k$ -slant submanifolds of Kähler manifolds

Adara M. Blaga, Dan Radu Latcu

We study some properties of pointwise $k$ -slant submanifolds of almost Hermitian manifolds with a special view towards Kähler manifolds. In particular, we characterize the integrab…

math.DG2023★ 3 cited

Characterizing the $2$ -Killing vector fields on multiply twisted product spacetimes

Adara M. Blaga

We characterize the $2$ -Killing vector fields on a multiply twisted product manifold, with a special view towards generalized spacetimes. More precisely, we determine the nonlinear…

math.DG2023★ 6 cited

Some properties of hyperbolic Yamabe solitons

Adara M. Blaga, Cihan Özgür

We define the hyperbolic Yamabe flow and obtain some properties of its stationary solutions, namely, of hyperbolic Yamabe solitons. We consider immersed submanifolds as hyperbolic…

math.DG2023★ 2 cited

New insights on slant submanifolds

Adara M. Blaga

We provide the necessary and sufficient condition for a pointwise slant submanifold with respect to two anti-commuting almost Hermitian structures to be also pointwise slant with r…

math.DG2023

Canonical connections attached to generalized quaternionic and para-quaternionic structures

Adara M. Blaga, Antonella Nannicini

We put into light some generalized almost quaternionic and almost para-quaternionic structures and characterize their integrability with respect to a $\nabla$ -bracket on the genera…

math.DG2022★ 4 cited

On conformal collineation and almost Ricci solitons

Adara M. Blaga, Bang-Yen Chen

We provide conditions for a Riemannian manifold with a nontrivial closed affine conformal Killing vector field to be isometric to a Euclidean sphere or to the Euclidean space. Also…

math.DG2022

Conformal-projective transformations on statistical and semi-Weyl manifolds with torsion

Adara M. Blaga, Antonella Nannicini

We show that statistical and semi-Weyl structures with torsion are invariant under conformal-projective transformations. We prove that a non-degenerate submanifold of a semi-Weyl (…

math.DG2021★ 4 cited

On the geometry of lift metrics and lift connections on the tangent bundle

Esmaeil Peyghan, Davood Seifipour, Adara M. Blaga

We study lift metrics and lift connections on the tangent bundle $T M$ of a Riemannian manifold $(M, g)$ . We also investigate the statistical and Codazzi couples of $T M$ and their co…

math.DG2021★ 6 cited

Harmonic forms and generalized solitons

Adara M. Blaga, Bang-Yen Chen

For a generalized soliton $(g, ξ, η, β, γ, δ)$ , we provide necessary and sufficient conditions for the dual $1$ -form $ξ^{♭}$ of the potential vector field $ξ$ to be a solution of th…

math.DG2021★ 18 cited

Gradient solitons on doubly warped product manifolds

Adara M. Blaga, Hakan M. Taştan

Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons on them such as Riemann, Ricci, Yamabe and conform…

math.DG2021★ 4 cited

Remarks on Einstein solitons with certain types of potential vector field

Adara M. Blaga, Dan Radu Latcu

We consider almost Einstein solitons $(V, λ)$ in a Riemannian manifold when $V$ is a gradient, a solenoidal or a concircular vector field. We explicitly express the function $λ$ by…

math.DG2020★ 4 cited

Remarks on Riemann and Ricci solitons in $(α, β)$ -contact metric manifolds

Adara M. Blaga, Dan Radu Latcu

We study almost Riemann solitons and almost Ricci solitons in an $(α, β)$ -contact metric manifold satisfying some Ricci symmetry conditions, treating the case when the potential vec…

math.DG2020★ 26 cited

Remarks on almost Riemann solitons with gradient or torse-forming vector field

Adara M. Blaga

We consider almost Riemann solitons $(V, λ)$ in a Riemannian manifold and underline their relation to almost Ricci solitons. When $V$ is of gradient type, using Bochner formula, we…

math.DG2020

Geometric solitons in a $D$ -homothetically deformed Kenmotsu manifold

Adara M. Blaga

We consider almost Riemann and almost Ricci solitons in a $D$ -homothetically deformed Kenmotsu manifold having as potential vector field a gradient vector field, a solenoidal vecto…

math.DG2020★ 20 cited

Gradient solitons on statistical manifolds

Adara M. Blaga, Bang-Yen Chen

We provide necessary and sufficient conditions for some particular couples $(g, \nabla)$ of pseudo-Riemannian metrics and affine connections to be statistical structures if we have…

Generalized Wintgen inequalities for submanifolds of conformally flat manifolds

On some special symmetries of a biwarped product-type 3-manifold

On certain symmetries of R3 with a diagonal metric

Flat 3-manifolds with diagonal metrics and applications to warped products

Constructing Ricci vector fields on R2 with a diagonal metric

On generalized plastic structures

Certain symmetries of R2 with diagonal metrics

On some 3-dimensional almost η-Ricci solitons with diagonal metrics

On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons

Some properties of pointwise k-slant submanifolds of Kähler manifolds

Characterizing the 2-Killing vector fields on multiply twisted product spacetimes

Some properties of hyperbolic Yamabe solitons

New insights on slant submanifolds

Canonical connections attached to generalized quaternionic and para-quaternionic structures

On conformal collineation and almost Ricci solitons

Conformal-projective transformations on statistical and semi-Weyl manifolds with torsion

On the geometry of lift metrics and lift connections on the tangent bundle

Harmonic forms and generalized solitons

Gradient solitons on doubly warped product manifolds

Remarks on Einstein solitons with certain types of potential vector field

Remarks on Riemann and Ricci solitons in (α,β)-contact metric manifolds

Remarks on almost Riemann solitons with gradient or torse-forming vector field

Geometric solitons in a D-homothetically deformed Kenmotsu manifold

Gradient solitons on statistical manifolds

On certain symmetries of $R^{3}$ with a diagonal metric

Constructing Ricci vector fields on $R^{2}$ with a diagonal metric

Certain symmetries of $R^{2}$ with diagonal metrics

On some $3$ -dimensional almost $η$ -Ricci solitons with diagonal metrics

Some properties of pointwise $k$ -slant submanifolds of Kähler manifolds

Characterizing the $2$ -Killing vector fields on multiply twisted product spacetimes

Remarks on Riemann and Ricci solitons in $(α, β)$ -contact metric manifolds

Geometric solitons in a $D$ -homothetically deformed Kenmotsu manifold