Results 21 to 30 of about 313 (89)
MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
Mancho Manev
doaj +3 more sources
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
On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons
Karpatsʹkì Matematičnì Publìkacìï, 2021 The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
doaj +1 more source
Harmonic Maps and Torse-Forming Vector Fields
International Electronic Journal of Geometry, 2020 In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.
Ahmed Mohammed Cherif, Mustapha Djaa
openaire +4 more sources
A note on Concircular Structure space-times [PDF]
, 2018 In this note we show that Lorentzian Concircular Structure manifolds (LCS)_n coincide with Generalized Robertson-Walker space-times.Comment: 2 ...
Mantica, Carlo Alberto +1 more
core +3 more sources
General Relativistic Space-Time with η1-Einstein Metrics
Mathematics, 2022 The present research paper consists of the study of an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field.
Yanlin Li +4 more
doaj +1 more source
Reeb vector field of almost contact metric structure as affine motion
Дифференциальная геометрия многообразий фигур, 2022 Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
doaj +1 more source
Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry
Mathematics, 2021 We review Pólya vector fields associated to holomorphic functions as an important pedagogical tool for making the complex integral understandable to the students, briefly mentioning its use in other dimensions.
Lucian-Miti Ionescu +2 more
doaj +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 *-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold.
Dey, Santu, Karaca, Fatma, Roy, Soumendu
core +1 more source