Results 1 to 10 of about 274 (68)
On Einstein warped product space with respect to semi symmetric metric connection
Hacettepe Journal of Mathematics and Statistics, 2021 In this paper, we study Einstein warped product space with respect to semi symmetric metric connection. During this study we establish some results on curvature, Ricci and scalar tensors with respect to semi symmetric metric connection and second order ...
B. Pal, Pankaj Kumar
semanticscholar +1 more source
Evolutoids and pedaloids of frontals on timelike surfaces
Open Mathematics, 2023 In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space. The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the ...
Wang Yongqiao +3 more
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Mannheim curves and their partner curves in Minkowski 3-space E13
Demonstratio Mathematica, 2022 The modified orthogonal frame is an important tool to study analytic space curves whose curvatures have discrete zero points. In this article, by using the modified orthogonal frame, Mannheim curves and their partner curves are investigated in Minkowski ...
Elsharkawy Ayman, Elshenhab Ahmed M.
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Non-negative Legendrian isotopy in ST M [PDF]
, 2009 It is shown that if the universal cover of a manifold M is an open manifold, then two different fibres of the spherical cotangent bundle ST M cannot be connected by a non-negative Legendrian isotopy.
V. Chernov, S. Nemirovski
semanticscholar +1 more source
Non-null slant ruled surfaces [PDF]
AIMS Mathematics, 2016 In this study, we define some new types of non-null ruled surfaces called slant ruled surfaces in the Minkowski 3-space 31 E . We introduce some characterizations for a non-null ruled surface to be a slant ruled surface in 31 E . Moreover, we obtain some
M. Onder
semanticscholar +1 more source
Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range
Analysis and Geometry in Metric Spaces, 2022 We establish the Bonnet–Myers theorem, Laplacian comparison theorem, and Bishop–Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function.
Lu Yufeng +2 more
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Legendre curves on Lorentzian Heisenberg space
, 2020 In this paper, we show that the Legendre curves on three-dimensional Lorentzian Heisenberg space (H3, g) are locally φsymmetric if and only if they are geodesic.
L. Belarbi, M. Belarbi, H. E. Hendi
semanticscholar +1 more source
Length functions in Teichmüller and anti-de Sitter geometry
Forum of Mathematics, Sigma, 2023 We establish a link between the behavior of length functions on Teichmüller space and the geometry of certain anti-de Sitter $3$ -manifolds. As an application, we give new purely anti-de Sitter proofs of results of Teichmüller theory such as ...
Filippo Mazzoli, Gabriele Viaggi
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Spacelike Bertrand curves in Minkowski 3-space revisited
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In the geometry of curves in 𝔼3, if the principal normal vector field of a given space curve ϕ with non-zero curvatures is the principal normal vector field of another space curve ϕ*, then the curve ϕ is called a Bertrand curve and ϕ* is called Bertrand ...
Erdem Hatice Altın, İlarslan Kazım
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Isometry Lie algebras of indefinite homogeneous spaces of finite volume
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 1115-1148, October 2019., 2019 Abstract Let g be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩. We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of g is an infinitesimal isometry for ⟨·,·⟩.
Oliver Baues +2 more
wiley +1 more source