Results 1 to 10 of about 2,312 (106)
Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures [PDF]
Serdica Math. J. 33 (2007), 377-386, 2007In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.Comment: 7 ...
Ganchev, Georgi, Kassabov, Ognian
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On Einstein warped product space with respect to semi symmetric metric connection
Hacettepe Journal of Mathematics and Statistics, 2021In 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
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Evolutoids and pedaloids of frontals on timelike surfaces
Open Mathematics, 2023In 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, 2022The 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]
, 2009It 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
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Non-null slant ruled surfaces [PDF]
AIMS Mathematics, 2016In 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
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Legendre curves on Lorentzian Heisenberg space
, 2020In 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
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Length functions in Teichmüller and anti-de Sitter geometry
Forum of Mathematics, Sigma, 2023We 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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Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range
Analysis and Geometry in Metric Spaces, 2022We 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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Spacelike Bertrand curves in Minkowski 3-space revisited
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023In 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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