Results 1 to 10 of about 2,312 (106)

Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures [PDF]

open access: yesSerdica Math. J. 33 (2007), 377-386, 2007
In 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
core   +2 more sources

On Einstein warped product space with respect to semi symmetric metric connection

open access: yesHacettepe 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 access: yesOpen 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
doaj   +1 more source

Mannheim curves and their partner curves in Minkowski 3-space E13

open access: yesDemonstratio 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.
doaj   +1 more source

Non-negative Legendrian isotopy in ST M [PDF]

open access: yes, 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]

open access: yesAIMS 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

Legendre curves on Lorentzian Heisenberg space

open access: yes, 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

open access: yesForum 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
doaj   +1 more source

Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range

open access: yesAnalysis 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
doaj   +1 more source

Spacelike Bertrand curves in Minkowski 3-space revisited

open access: yesAnalele 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
doaj   +1 more source

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