Multi-helicoidal Euclidean submanifolds of constant sectional curvature.
Ripoll, Jaime, Tojeiro, Ruy (2001)
Beiträge zur Algebra und Geometrie
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Ripoll, Jaime, Tojeiro, Ruy (2001)
Beiträge zur Algebra und Geometrie
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Liu, X. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Stefan Haesen (2005)
Kragujevac Journal of Mathematics
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Svetislav M. Minčić (2011)
Kragujevac Journal of Mathematics
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Ülo Lumiste (2002)
Commentationes Mathematicae Universitatis Carolinae
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By means of the bundle of orthonormal frames adapted to the submanifold as in the title an explicit exposition is given for these submanifolds. Two theorems give a full description of the semisymmetric Riemannian manifolds which can be immersed as such submanifolds. A conjecture is verified for this case that among manifolds of conullity two only the planar type (in the sense of Kowalski) is possible.
Masal, Melek (2006)
Novi Sad Journal of Mathematics
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