Results 1 to 10 of about 1,153 (77)

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

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

Isometry Lie algebras of indefinite homogeneous spaces of finite volume

open access: yesProceedings 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

On Carleman and observability estimates for wave equations on time‐dependent domains

open access: yesProceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019
Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley   +1 more source

Screen conformal half‐lightlike submanifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3737-3753, 2004., 2004
We study some properties of a half‐lightlike submanifold M, of a semi‐Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S(TM) of M is integrable and the geometry of M has a close relation with the nondegenerate geometry of a leaf of S(TM).
K. L. Duggal, B. Sahin
wiley   +1 more source

Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow

open access: yesOpen Mathematics, 2020
In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
doaj   +1 more source

Trajectories under a vectorial potential on stationary manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 23, Page 1481-1495, 2003., 2003
By using variational methods, we study the existence and multiplicity of trajectories under a vectorial potential on (standard) stationary Lorentzian manifolds possibly with boundary.
Rossella Bartolo
wiley   +1 more source

Home - About - Disclaimer - Privacy