Results 31 to 40 of about 103 (82)
Euclidean Submanifolds via Tangential Components of Their Position Vector Fields
Mathematics, 2017 The position vector field is the most elementary and natural geometric object on a Euclidean submanifold. The position vector field plays important roles in physics, in particular in mechanics. For instance, in any equation of motion, the position vector
Bang-Yen Chen
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Some results about concircular vector fields on Riemannian manifolds
Filomat, 2020 In this article, we show that the presence of a concircular vector field on a Riemannian manifold can be used to obtain rigidity results for Riemannian and Kaehler manifolds. More precisely, we find new geometrical characterizations of spheres, Euclidean spaces as well as of complex Euclidean spaces using non-trivial concircular vector ...
Chen, Bang-Yen, Deshmukh, Sharief
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MathematicsThis paper examines the classification of Lorentzian hypersurfaces in Minkowski space, specifically focusing on those that are characterized as good or bad and that admit Ricci solitons with a concircular vector field.
Norah Alshehri, Mohammed Guediri
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European Physical Journal C: Particles and FieldsWe explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.An η‐Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitons and Ricci–Yamabe solitons on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi +3 more
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On Generalized ϕ‐Recurrent (ϵ, δ)‐Trans‐Sasakian Manifolds
Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 We study generalized ϕ‐recurrent (ϵ, δ)‐trans‐Sasakian manifolds. A relation between the associated 1‐forms A and B and relation between characteristic vector field ξ and the vector fields ρ1, ρ2 for a generalized ϕ‐recurrent.
C. S. Bagewadi +3 more
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Mathematics, 2019 In the present paper, we study conformal mappings between a connected n-dimension pseudo-Riemannian Einstein manifolds. Let g be a pseudo-Riemannian Einstein metric of indefinite signature on a connected n-dimensional manifold M.
Josef Mikeš +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.We characterize multiply warped product manifolds with ϕ(Ric)‐vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕ(Ric)‐vector field. In terms of physical applications, the multiply generalized Robertson–Walker spacetime is considered.
Moctar Traore +3 more
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Some Curvature Properties of (LCS) n‐Manifolds
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The object of the present paper is to study (LCS) n‐manifolds with vanishing quasi‐conformal curvature tensor. (LCS) n‐manifolds satisfying Ricci‐symmetric condition are also characterized.
Mehmet Atçeken, Narcisa C. Apreutesei
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