Results 41 to 50 of about 1,063 (72)
Osculating curves in 4-dimensional semi-Euclidean space with index 2
Open Mathematics, 2017 In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves.
İlarslan Kazim +2 more
doaj +1 more source
, 2015 The main topic of this paper is to show that in the 3-dimensional Minkowski spacetime, the torsion of a null curve is equal to the Schwarzian derivative of a certain function appearing in a description of the curve.
Olszak, Zbigniew
core +1 more source
Integrable system of null curve and Betchov-Da Rios equation
Demonstratio MathematicaThis study focuses on the time evolution of a null curve using a new frame and a new transformation in Minkowski 3-space. Accordingly, Landau–Lifshitz and coupled Boussinesq-like equations for the null curve are provided in terms of the new ...
Yoon Dae Won
doaj +1 more source
Volume of $C^{1,\alpha}$-boundary domain in extended hyperbolic space
, 2006 We consider the projectivization of Minkowski space with the analytic continuation of the hyperbolic metric and call this an extended hyperbolic space.
Cho, Yunhi, Kim, Hyuk
core +2 more sources
Linear Connections on Normal Almost Contact Manifolds with Norden Metric [PDF]
, 2010 Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almost contact manifold with Norden metric and closed structural 1-form.
Teofilova, Marta
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Real hypersurfaces of indefinite Kaehler manifolds
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 545-556, 1993.
A. Bejancu, K. L. Duggal
wiley +1 more source
Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups
, 2010 We show that Lorentzian manifolds whose isometry group is of dimension at least $\frac{1}{2}n(n-1)+1$ are expanding, steady and shrinking Ricci solitons and steady gradient Ricci solitons.
Batat, W. +3 more
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Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical SciencesPurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we construct a helicoidal surface of type I+ with prescribed weighted mean curvature and Gaussian curvature in the Minkowski 3−space ℝ13${\Bbb R}_1^3$with a positive density function. We get a result for minimal case.
Yıldız Önder Gökmen +2 more
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On tangent bundles of Walker four-manifolds
Open MathematicsThe aim of this study is to explore the complete lifts of almost Norden structures on tangent bundles of Walker four-manifolds. Furthermore, we examine the integrability conditions of the complete lifts JC{J}^{C} of the proper almost complex structure ...
Çayir Haşim +2 more
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