Position vector of spacelike biharmonic curves in the Lorentzian Heisenberg group .
Turhan, Essin, Körpinar, Talat (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Displaying similar documents to “Biminimal general helix in the Heisenberg group ”
Position vector of spacelike biharmonic curves in the Lorentzian Heisenberg group .
Abnormality of trajectory in sub-Riemannian structure
F. Pelletier, L. Bouche (1995)
Banach Center Publications
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In the sub-Riemannian framework, we give geometric necessary and sufficient conditions for the existence of abnormal extremals of the Maximum Principle. We give relations between abnormality, -rigidity and length minimizing. In particular, in the case of three dimensional manifolds we show that, if there exist abnormal extremals, generically, they are locally length minimizing and in the case of four dimensional manifolds we exhibit abnormal extremals which are not -rigid and which...
An algorithm based on rolling to generate smooth interpolating curves on ellipsoids
Krzysztof Krakowski, Fátima Silva Leite (2014)
Kybernetika
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We present an algorithm to generate a smooth curve interpolating a set of data on an -dimensional ellipsoid, which is given in closed form. This is inspired by an algorithm based on a rolling and wrapping technique, described in [11] for data on a general manifold embedded in Euclidean space. Since the ellipsoid can be embedded in an Euclidean space, this algorithm can be implemented, at least theoretically. However, one of the basic steps of that algorithm consists in rolling the ellipsoid,...
Contact geometry of curves.
Vassiliou, Peter J. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Jacobi operator for leaf geodesics
Paweł Walczak (1993)
Colloquium Mathematicae
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On the curvatures of -dimensional generalized time-like ruled surface.
Bektas, Mehmet (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Sufficient decrease principle on Riemannian manifolds.
Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Biharmonic curves in the generalized Heisenberg group.
Fetcu, Dorel (2005)
Beiträge zur Algebra und Geometrie
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Stability of the geodesic flow for the energy
Eric Boeckx, José Carmelo González-Dávila, Lieven Vanhecke (2002)
Commentationes Mathematicae Universitatis Carolinae
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We study the stability of the geodesic flow as a critical point for the energy functional when the base space is a compact orientable quotient of a two-point homogeneous space.