Results 1 to 10 of about 274 (68)
On Einstein warped product space with respect to semi symmetric metric connection
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
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
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]
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]
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
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
Legendre curves on Lorentzian Heisenberg space
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
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
Spacelike Bertrand curves in Minkowski 3-space revisited
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
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
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