Ricci Soliton of CR-Warped Product Manifolds and Their Classifications

Symmetry, Journal Year: 2023, Volume and Issue: 15(5), P. 976 - 976

Published: April 25, 2023

In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between gradient and Laplacian of warping function second fundamental form. We necessary conditions submanifolds Ka¨hler manifold to be Einstein impact Ricci soliton. Some classification by using Euler–Lagrange equation, Dirichlet energy Hamiltonian is given. also derive some characterizations warped manifolds under Curvature Divergence Hessian tensor.

Language: Английский

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Kenmotsu Metric as Conformal $$\eta $$-Ricci Soliton

Mediterranean Journal of Mathematics, Journal Year: 2023, Volume and Issue: 20(4)

Published: April 24, 2023

Language: Английский

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On the curvatures of timelike circular surfaces in Lorentz-Minkowski space

Filomat, Journal Year: 2024, Volume and Issue: 38(4), P. 1423 - 1437

Published: Jan. 1, 2024

In this paper, using the classical methods of differential geometry, wedefine invariants timelike circular surfaces in Lorentz-Minkowski space R3 1, called curvature functions, and show kinematic meaning these invariants. Then we discuss properties give a kind classification with theories Besides, to demonstrate our theoretical results some computational examples are given plotted.

Language: Английский

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On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space

AIMS Mathematics, Journal Year: 2023, Volume and Issue: 8(9), P. 22256 - 22273

Published: Jan. 1, 2023

<abstract><p>In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according to Frenet vectors of non-null space curves, introduced with extra conditions that guarantee existence definite surface normals. First, requirements each pair be simultaneously developable and minimal (or maximal for spacelike surfaces) investigated. The also characterize asymptotic, geodesic curvature lines parameter curves these surfaces. Finally, study provides examples timelike includes their graphs.</p></abstract>

Language: Английский

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Some notes on the tangent bundle with a Ricci quarter-symmetric metric connection

AIMS Mathematics, Journal Year: 2023, Volume and Issue: 8(8), P. 17335 - 17353

Published: Jan. 1, 2023

<abstract><p>Let $ (M, g) be an n $-dimensional (pseudo-)Riemannian manifold and TM its tangent bundle equipped with the complete lift metric ^{C}g $. First, we define a Ricci quarter-symmetric connection \overline{\nabla } on Second, compute all forms of curvature tensors study their properties. We also mean gradient solitons are important topics studied extensively lately. Necessary sufficient conditions for to become soliton concerning presented. Finally, search locally conformally flat respect $.</p></abstract>

Language: Английский

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On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space

Mathematics, Journal Year: 2023, Volume and Issue: 11(15), P. 3365 - 3365

Published: Aug. 1, 2023

The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived expression for the homogeneous generalized Matsumoto change. Moreover, deduced aforementioned space vanishing S-curvature. These findings contribute significantly to understanding complex nature their properties.

Language: Английский

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A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space E25

Mathematics, Journal Year: 2023, Volume and Issue: 11(15), P. 3427 - 3427

Published: Aug. 7, 2023

We present a family of hypersurfaces revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E25. The matrices corresponding to fundamental form, Gauss map, and shape operator this are computed. By utilizing Cayley–Hamilton theorem, we determine curvatures specific family. Furthermore, establish criteria for maximality within framework. Additionally, reveal relationship between Laplace–Beltrami 5×5 matrix.

Language: Английский

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Quaternionic Shape Operator and Rotation Matrix on Ruled Surfaces

Axioms, Journal Year: 2023, Volume and Issue: 12(5), P. 486 - 486

Published: May 17, 2023

In this article, we examine the relationship between Darboux frames along parameter curves and frame of base curve ruled surface. We derive equations quaternionic shape operators, which can rotate tangent vectors around normal vector, find corresponding rotation matrices. Using these Gauss curvature mean explore how properties are found by use Frenet instead generator vectors. provide illustrative examples to better demonstrate concepts results discussed.

Language: Английский

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Kinematic-geometry of a line trajectory and the invariants of the axodes

Demonstratio Mathematica, Journal Year: 2023, Volume and Issue: 56(1)

Published: Jan. 1, 2023

Abstract In this article, we investigate the relationships between instantaneous invariants of a one-parameter spatial movement and local axodes. Specifically, provide new proofs for Euler-Savary Disteli formulas using E. Study map in kinematics, showcasing its elegance efficiency. addition, introduce two line congruences thoroughly analyze their equivalence. Our findings contribute to deeper understanding interplay movements axodes, with potential applications fields such as robotics mechanical engineering.

Language: Английский

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Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

Open Mathematics, Journal Year: 2023, Volume and Issue: 21(1)

Published: Jan. 1, 2023

Abstract The prime objective of the approach is to give geometric classifications k k -almost Ricci solitons associated with paracontact manifolds. Let M 2 n + 1 ( φ , ξ η g ) {M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a metric manifold, and if K K -paracontact g represents soliton V λ \left(g,V,k,\lambda ) potential vector field V Jacobi along Reeb \xi , then either = − k=\lambda -2n or -Ricci soliton. Next, we consider manifold as infinitesimal transformation collinear . We have proved that non-zero operator Q Q commutes structure \varphi it Einstein constant scalar curvature equals -2n\left(2n+1) Finally, deduced para-Sasakian admitting gradient

Language: Английский

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