Results 11 to 20 of about 1,987 (109)

Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations

Journal of Mathematics, 2021
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh, Akram Ali, Nadia Alluhaibi, Olga Belova   +3 more
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Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

Mathematics, 2022
In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented.
Ali H. Alkhaldi, Pişcoran Laurian-Ioan, Izhar Ahmad, Akram Ali   +3 more
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Double Yang-Baxter deformation of spinning strings

Journal of High Energy Physics, 2020
We study the reduction of classical strings rotating in the deformed three- sphere truncation of the double Yang-Baxter deformation of the AdS 3 ×S 3 ×T 4 background to an integrable mechanical model.
Rafael Hernández, Roberto Ruiz
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On Isometric Extension in the Space sn(H)

Journal of Function Spaces, 2014
We study the problem of isometric extension on a sphere of the space sn(H). We give an affirmative answer to Tingley’s problem in the space sn(H).
Xiaohong Fu
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Ricci Vector Fields

Mathematics, 2023
We introduce a special vector field ω on a Riemannian manifold (Nm,g), such that the Lie derivative of the metric g with respect to ω is equal to ρRic, where Ric is the Ricci tensor of (Nm,g) and ρ is a smooth function on Nm.
Hanan Alohali, Sharief Deshmukh
doaj   +1 more source

Characterizations of Spheres and Euclidean Spaces by Conformal Vector Fields

Mathematics
A nontrivial conformal vector field ω on an m-dimensional connected Riemannian manifold Mm,g has naturally associated with it the conformal potential θ, a smooth function on Mm, and a skew-symmetric tensor T of type (1,1) called the associated tensor ...
Sharief Deshmukh, Nasser Bin Turki, Ramesh Sharma   +2 more
doaj   +1 more source

Beta-almost Ricci solitons on Sasakian 3-manifolds

Cubo, 2019
In this paper we characterize the Sasakian 3-manifolds admitting β-almost Ricci solitons whose potential vector field is a contact vector field. Among others we prove that a β-almost Ricci soliton whose potential vector field is a contact vector field on
Pradip Majhi, Debabrata Kar
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Eigenvectors of the De-Rham Operator

Mathematics, 2023
We aim to examine the influence of the existence of a nonzero eigenvector ζ of the de-Rham operator Γ on a k-dimensional Riemannian manifold (Nk,g). If the vector ζ annihilates the de-Rham operator, such a vector field is called a de-Rham harmonic vector
Nasser Bin Turki, Sharief Deshmukh, Gabriel-Eduard Vîlcu   +2 more
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Sphere Theorems for σ_k-Einstein Manifolds

Axioms
A problem that geometers have always been concerned with is when a closed manifold is isometric to a round sphere. A classical result shows that a closed locally conformally flat Einstein manifold is always isometric to a quotient of a round sphere.
Jingyang Zhong, Xinran Mu
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On Killing Vector Fields on Riemannian Manifolds

Mathematics, 2021
We study the influence of a unit Killing vector field on geometry of Riemannian manifolds. For given a unit Killing vector field w on a connected Riemannian manifold (M,g) we show that for each non-constant smooth function f∈C∞(M) there exists a non-zero
Sharief Deshmukh, Olga Belova
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