Biminimal general helix in the Heisenberg group
Essin Turhan, Talat Körpinar (2010)
Kragujevac Journal of Mathematics
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Essin Turhan, Talat Körpinar (2010)
Kragujevac Journal of Mathematics
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Miroslava Petrović-Torgašev (2002)
Kragujevac Journal of Mathematics
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Bektas, Mehmet (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Wei, Shihshu Walter (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
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,...
Stefan Haesen (2005)
Kragujevac Journal of Mathematics
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Pasarescu, Ovidiu (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 14H45, 14H50, 14J26. We construct linearly normal curves covering a big range from P^n, n ≥ 6 (Theorems 1.7, 1.9). The problem of existence of such algebraic curves in P^3 has been solved in [4], and extended to P^4 and P^5 in [10]. In both these papers is used the idea appearing in [4] and consisting in adding hyperplane sections to the curves constructed in [6] (for P^3) and [15, 11] (for P^4 and P^5) on some special surfaces. In...