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Curves in homogeneous spaces and their contact with 1-dimensional orbits
(Geometriae Dedicata, 2011-10-01) [Artigo]
Let alpha be a C(infinity) curve in a homogeneous space G/H. For each point x on the curve, we consider the subspace S(k)(alpha) of the Lie algebra G of G consisting of the vectors generating a one parameter subgroup whose ...
On the Betti number of the union of two generic map images
(Topology and its Applications, 1999-06-23) [Artigo]
Let f: M --> N and g: K --> N be generic differentiable maps of compact manifolds without boundary into a manifold such that their intersection satisfies a certain transversality condition. We show, under a certain ...