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Existence of Codimension-One Foliations
The Annals of Mathematics, 1976A codimension-k foliation of a manifold Mn is a geometric structure which is formally defined by an atlas {qf: U. - Mn}, with U c Rn-k x R , such that the transition functions have the form 9pj(x, y) = (f(x, y), g(y)), [x e Rnk, y e Rk]. Intuitively, a foliation is a pattern of (n - k)-dimensional stripes-i.e., submanifolds-on M", called the leaves of ...
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2019
The study of isometric immersions becomes increasingly difficult for higher values of the codimension. Therefore, it is important to investigate whether the codimension of an isometric immersion into a space of constant sectional curvature can be reduced.
Marcos Dajczer, Ruy Tojeiro
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The study of isometric immersions becomes increasingly difficult for higher values of the codimension. Therefore, it is important to investigate whether the codimension of an isometric immersion into a space of constant sectional curvature can be reduced.
Marcos Dajczer, Ruy Tojeiro
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Smooth Mappings of Bounded Codimensions
Journal of the London Mathematical Society, 1982Izumiya, S., Kogo, Y.
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