The geodesic curvature and geodesic torsion of the intersection curve of two surfaces.
Düldül, Bahar Uyar, Çalişkan, Mustafa (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Düldül, Bahar Uyar, Çalişkan, Mustafa (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Bektas, Mehmet (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Abdel-Baky, R.A., Abd-Ellah, H.N. (2008)
Archivum Mathematicum
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Essin Turhan, Talat Körpinar (2010)
Kragujevac Journal of Mathematics
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Izumiya, Shyuichi, Takeuchi, Nobuko (2003)
Beiträge zur Algebra und Geometrie
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Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)
Archivum Mathematicum
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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
Turhan, Essin, Körpinar, Talat (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)
Archivum Mathematicum
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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
Yoon, Dae Won (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Ando, N. (2007)
Beiträge zur Algebra und Geometrie
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Bucataru, Ioan, Dahl, Matias F. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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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...