Results 11 to 20 of about 89 (38)
Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers
Open Mathematics, 2018 This article is motivated by a problem posed by David A. Singer in 1999 and by the classical Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane 𝕃2 whose curvature is expressed in terms of the Lorentzian ...
Castro Ildefonso +2 more
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Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space
Open Mathematics, 2016 In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.
Chen Liang
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Weighted minimal translation surfaces in the Galilean space with density
Open Mathematics, 2017 Translation surfaces in the Galilean 3-space G3 have two types according to the isotropic and non-isotropic plane curves. In this paper, we study a translation surface in G3 with a log-linear density and classify such a surface with vanishing weighted ...
Yoon Dae Won
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Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space
, 2015 In the present paper, Smarandache curves for some special curves in the three- dimensional Galilean space G 3 are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced.
H. Abdelaziz, Prof. M. Khalifa Saad
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New Trends in Teichmüller Theory and Mapping Class Groups
Oberwolfach Reports, 2014 The program “New Trends in Teichmüller Theory and Mapping Class Groups” brought together people working in various aspects of the field and beyond. The focus was on the recent developments that include higher Teichmüller theory, the relation with three ...
S. Morita +3 more
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MANNHEIM CURVES IN AN $N$-DIMENSIONAL LORENTZ MANIFOLD
, 2014 In this paper, we give the definition of non-null Mannheim curve and null Mannheim curve in an n-dimensional Lorentz manifold. Furthermore, we give the condition for the non-null Mannheim partner curves and the null Mannhein partner curves.
D. Yoon
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SPACELIKE SUBMANIFOLDS IN DE SITTER SPACE
, 2010 We investigate the differential geometry of spacelike submanifolds of codimension at least two in de Sitter space as an application of the theory of Legendrian singularities.
M. Kasedou
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ON THE INVOLUTE AND EVOLUTE CURVES OF THE TIME LIKE CURVE IN MINKOWSKI 3-SPACE
, 2007 1. Pre l iminar i e s Let IR3 = {{xi,x2,x'i)\xi, X2, x3 £ IR} be a 3-dimensional vector space, a n d le t x = ( x i , x 2 , £ 3 ) a n d y = (2/1,2/2,2/3) b e t w o v e c t o r s in I R 3 .
Bahaddin Bukcu, M. K. Karacan
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On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. [PDF]
Calc Var Partial Differ Equ, 2022 Antonelli G +3 more
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Discrete cyclic systems and circle congruences. [PDF]
Ann Mat Pura Appl, 2022 Hertrich-Jeromin U, Szewieczek G.
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