Results 31 to 40 of about 38,523 (104)
Curves in Riemannian Manifolds Making Prescribed Angles With Torse-Forming Vector Fields
Journal of Geometry and PhysicsIn this paper, we introduce the notion of a prescribed angle curve in a Riemannian manifold associated with a pair $(\mathcal{V},θ)$, where $\mathcal{V}$ is a unit vector field along the curve and $θ$ denotes the angle between $\mathcal{V}$ and the principal normal vector of the curve. When $\mathcal{V}$ is a torse-forming vector field, we establish an
Aydin, Muhittin Evren +2 more
openaire +3 more sources
ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS
Demonstratio Mathematica, 1985 The following theorem is proved: If in a Riemannian manifold (M,g) with dim \(M\geq 4\) the covariant derivative \(R_{ij,k}\) of the Ricci tensor is symmetric in all indices, if \(R_{ij}[\ell m]=0\), and if there exists a vector field \(v_ i\) such that \(v_{i,j}=Fg_{ij}+A_ jv_ i\) with a certain scalar field F and a vector field \(A_ j\) (i.e.
exaly +3 more sources
On Kaehlerian torse-forming vector fields [PDF]
Kodai Mathematical Journal, 1979 Seiichi Yamaguchi
exaly +4 more sources
RIEMANNIAN SUBMERSIONS WHOSE TOTAL SPACE IS ENDOWED WITH A TORSE-FORMING VECTOR FIELD [PDF]
, 2022 In the present paper, a Riemannian submersion pi between Riemannian manifolds such that the total space of pi endowed with a torse-forming vector field nu is studied.
Meric, Emsi Eken, Kilic, Erol
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Some properties of biconcircular gradient vector fields; pp. 162–169 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 We consider a Riemannian manifold carrying a biconcircular gradient vector field X, having as generative a closed torse forming U. The existence of such an X is determined by an exterior differential system in involution depending on two arbitrary ...
Adela Mihai
doaj +1 more source
Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb +2 more
wiley +1 more source
Investigation of Pseudo‐Ricci Symmetric Spacetimes in Gray’s Subspaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In the present paper, we focused our attention to study pseudo‐Ricci symmetric spacetimes in Gray’s decomposition subspaces. It is proved that (PRS)n spacetimes are Ricci flat in trivial, A, and B subspaces, whereas perfect fluid in subspaces I, I ⊕ A, and I ⊕ B, and have zero scalar curvature in subspace A ⊕ B.
Sameh Shenawy +5 more
wiley +1 more source
Geometry of almost contact metrics as a ∗-conformal Ricci–Yamabe solitons and related results [PDF]
, 2023 The goal of this paper is to study certain types of metric such as a ∗-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold.
Fatma Karaca +5 more
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Mathematics, 2023 Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
doaj +1 more source
Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifolds [PDF]
, 2020 A generalization of Ricci-like solitons with torse-forming potential, which is constant multiple of the Reeb vector field, is studied. The conditions under which these solitons are equivalent to almost Einstein-like metrics are given.
M. Manev
semanticscholar +1 more source