Geodesic
On a Theorem of Kuiper
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 24-41

Voir la notice de l'article provenant de la source Cambridge University Press

Let be the standard (n + 1) simplex with its standard triangulation. By the Generalized Poincare Conjecture, if n ≧ 5 and is a smooth homotopy w-sphere, then there exists a smooth triangulation , where K is a suitable subdivision of . On the other hand, in [3], N. Kuiper proves the following theorem. 
Wells, Robert; Favaro, Luiz A. On a Theorem of Kuiper. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 24-41. doi: 10.4153/CJM-1976-004-8
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[1] 1. Cerf, J., Topologie de certaines espaces de plongements, (Gauthier-Villars, Paris, 1961). Google Scholar

[2] 2. Hirsch, M. W., On combinatorial submanifolds of differentiable manifolds, Comment. Math. Helv. 36﹛ 1962), 103–111. Google Scholar

[3] 3. Kuiper, N. H., On the sm∞things of triangulated and combinatorial manifolds, pp. 3–22, Differential and Combinatorial Topology (Princeton). Google Scholar

[4] 4. Thorn, R., Les classes caractéristiques de Pontrjagin des variétés triangules, pp. 54–67, Symposium Internacional de Topologia Algebraica (Mexico, 1966). Google Scholar

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