Results 41 to 50 of about 2,400,148 (182)
Universal geometric coefficients for the four-punctured sphere (Extended Abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We construct universal geometric coefficients for the cluster algebra associated to the four-punctured sphere and obtain, as a by-product, the $g$ -vectors of cluster variables. We also construct the rational part of the mutation fan. These constructions
Emily Barnard +3 more
doaj +1 more source
Schild’s null strings in flat and curved backgrounds [PDF]
Physical Review D, 1996 Schild's null (tensionless) strings are discussed in certain flat and curved backgrounds. We find closed, stationary, null strings as natural configurations existing on the horizons of spacetimes which possess such null hypersurfaces. Examples of these are obtained in Schwarzschild and Rindler spacetimes.
openaire +3 more sources
On focal curves of null Cartan curves
TURKISH JOURNAL OF MATHEMATICS, 2017 Summary: The focal curve, which is determined as the locus of centers of osculatingpseudo-spheres of a null Cartan curve, is investigated in Minkowski \((n+2)\)-space \(\mathcal{M}^{n+2}\). Moreover, a curve called \textit{acceleration focal curve} of a null Cartan curve is introduced by using a new family of functions.
openaire +3 more sources
On generalized null Mannheim curves in E24
, 2021 In the present paper, we introduce the notion of Cartan-framed generalized null Mannheim curves in four-dimensional semi-Euclidean space with index 2, E24.
İlarslan, Kazım +3 more
core +1 more source
Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space
Journal of New Theory, 2023 In this paper, we define a spacelike ac-slant curve whose scalar product of its acceleration vector and a unit non-null fixed direction is a constant in Minkowski 3-space.
Hasan Altınbaş
doaj +1 more source
Null Bertrand partner D-curves on spacelike surfaces
Frontiers in PhysicsIn this paper, by using the Darboux frame of null curves, we define null Bertrand partner D-curves and present the relations between curvatures of these curves in Minkowski 3-space E13. In addition, we obtain some special results. Finally, by considering
Tanju Kahraman
doaj +1 more source
Mannheim Curves in Nonflat 3-Dimensional Space Forms
Advances in Mathematical Physics, 2015 We consider the Mannheim curves in nonflat 3-dimensional space forms (Riemannian or Lorentzian) and we give the concept of Mannheim curves. In addition, we investigate the properties of nonnull Mannheim curves and their partner curves.
Wenjing Zhao, Donghe Pei, Xinyu Cao
doaj +1 more source
Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3-Space
Abstract and Applied Analysis, 2012 Singularities of the focal surfaces and the binormal indicatrix associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above two subjects and differential geometric ...
Zhigang Wang +4 more
doaj +1 more source
POSITION VECTORS OF A PARIALLY NULL AND PSEUDO NULL W-CURVES IN MINKOWSKI SPACE-TIME [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2018 In this paper, we introduced a position vector of a space-like curve with space-like principal normal vector and null first binormal vector. Also, we introduced a position vector of a space-like curve with space-like first binormal vector and null ...
doaj +1 more source
STRING QUANTIZATION IN CURVED SPACETIMES: NULL STRING APPROACH [PDF]
Modern Physics Letters A, 1995 We study quantum strings in strong gravitational fields. The relevant small parameter is [Formula: see text] where Rc is the curvature of the spacetime and T0 is the string tension. Within our systematic expansion we obtain to zeroth-order the null string (string with zero tension), while the first-order correction incorporates the string dynamics. We
de Vega, H. J. +2 more
openaire +3 more sources