Lorentzian Metric
7. Some properties of Lorentzian Sasakian manifolds with Tanaka-Webster connection
... The formulas (2.3) imply that an almost contact manifold is Sasakian if and only if its Reeb vector field ξ is a Killing vector field. A Frenet curve parametrised by arc length s is said to be a slant curve if its ...
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On pseudo W ̃2 flat LP-Sasakian Manifold with a coefficient α
... De, Shaikh and Sengupta introduced the notion of LP-Sasakian manifolds with coefficient α which generalized the notion of LP-Sasakian manifolds. Recently, Ikawa and his coauthors studied Sasakian manifolds with ...
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Extended Theories of Gravitation - Structure of Spacetime and Fundamental Principles of Physics, following Ehlers-Pirani-Schild Framework
... a Lorentzian metric g determining both the conformal structure g ∈ C and the free fall ˜ Γ = {g} ...a Lorentzian metric ˜ g ∈ C also determining free fall by ˜ Γ = {˜ ...the metric ...
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Fundamental Domains in Lorentzian Geometry
... Abstract. We consider discrete subgroups Γ of the simply connected Lie group SU(1, f 1) of finite level, i.e. the subgroup intersects the centre of SU(1, f 1) in a subgroup of finite index, this index is called the level ...
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Gravity and Faster than Light Particles
... both Lorentzian and Euclidian metrics. An Euclidian metric does not restrict ...the Lorentzian metric is stable, an Euclidian metric can be created under special gravitational ...
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Indefinite Almost Paracontact Metric Manifolds
... semi-Riemannian metric 10 on a manifold M, we understand a non-degenerate symmetric tensor field g of type 0, ...a Lorentzian metric ...Riemannian metric on a differentiable manifold is ...of ...
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5. On weak symmetries of $\delta-$ Lorentzian $\beta-$ Kenmotsu manifold
... δ-Lorentzian metric g becomes a Riemannian positive definite metric on M so that in this case the characteristic vector field ξ becomes aspace like and if δ = 1, Then it becomes a light ...
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MoL 2019 15: Lorentzian Structures on Branching Spacetimes
... Before we do anything of the sort, we will first remind the reader of the precise definition of a spacetime, in the physicist’s sense of the word. In short, a spacetime is a connected, smooth manifold possessing a ...
141
On the two parameter Lorentzian homothetic motions
... Muller has introduced one- and two-parameter planar motions and obtained the re- lations between absolute, relative, sliding velocity, and pole curves of these motions []. Moreover, two-parameter motions in ...
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Curvature Motion on Dual Hyperbolic Unit Sphere H20
... dual Lorentzian unit sphere S 1 2 corresponds to a spacelike (timelike) ruled surface in the Lorentzian line space 3 1 , this means that, there exists a one-to-one correspondence between the geometry of ...
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2. Lightlike hypersurfaces with harmonic curvature in a Lorentzian space form
... a Lorentzian space form has harmonic curvature, then it is totally geodesic according to the previous ...any Lorentzian space form is locally symmetric, by Theorem 1 we can state that, any totally geodesic ...
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A Quarter-Symmetric Non-Metric Connection In A Lorentzian Kenmotsu Manifold
... Abstract:- In this paper we study quarter- symmetric non-metric connection in a Lorentzian 𝛽 − kenmotsu manifold and the first Bianchi identity for the curvature tensor is found. Ricci tensor and the scalar ...
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Some unique fixed point theorems for rational contractions in partially ordered metric spaces
... In this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize the main result of Jaggi ...
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An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary
... the Lorentzian setting the Dirac equation is essentially a wave equation which can be solved forward in time as well as backward in ...the metric of the manifold has product structure near the bound- ary ...
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Chen like inequalities on lightlike hypersurfaces of a Lorentzian manifold
... 7. Tripathi, MM: Chen-Ricci inequality for submanifolds of contact metric manifolds. J. Adv. Math. Stud. 1, 111-134 (2008) 8. Chen, BY: Some pinching and classification theorems for minimal submanifolds. Arch. ...
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Fundamental domains for left-right actions in Lorentzian geometry
... The cases we are going to consider are where Γ A triangle group Γp, q, r is the subgroup of orientation-preserving isometries in a discrete group of isometries Γp, q, r∗ of the hyperboli[r] ...
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9. On three-dimensional Lorentzian $\alpha $-Sasakian manifolds
... contact metric manifold and supposes that the product metric 𝐺 on 𝑀 × ℝ is Kaehlerian, then the structure on 𝑀 is cosymplectic [9] and not ...related metric 𝑒 2𝑡 𝐺, 𝑡 being the ...
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An unified theorem for mappings in orbitally complete partial metric spaces
... principle in such spaces. Many authors studied the fixed points for mappings satisfying contractive conditions in complete partial metric spaces in [1], [3], [6] and in other papers. Recently, in [8] the authors ...
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Vol 2017
... Z.Hu and S. Deng in [6] prove homogeneous Randers spaces is Ricci quadratic if and only if is Berwald type. In this paper we obtain some results on characterizetion of Ricci-quaratic Einstein metric and we prove ...
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Evolutes of Hyperbolic Dual Spherical Curve in Dual Lorentzian 3-Space
... Mathematical techniques used the E. Study’s map have been shown to be suitable for study dual hyperbolic invariants as applications of the singularity theory of smooth dual functions. Hopefully these results will lead to ...
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