Generalised Umbilics on Embedded Spheres
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 90-95

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

We study two kinds of generalized umbilics on smoothly embedded n-manifolds in Rn+1. A sectional umbilic occurs where two of the principal curvatures are equal, and a split sectional umbilic is a more generalnotion.
DOI : 10.4153/CMB-1991-014-1
Mots-clés : 53A07, 53C40
Noakes, J. L. Generalised Umbilics on Embedded Spheres. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 90-95. doi: 10.4153/CMB-1991-014-1
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[1] 1. Adams, J. F., Vector fields on spheres, Annals of Math. 75(1962) 603–632. Google Scholar

[2] 2. Bol, G., Über Nabelpunkte aufeiner Eifläche, Math. Z. 49(1944) 389–4110. Google Scholar

[3] 3. Hamburger, H., Beweis einer Caratheodoryschen Vermutung, Teil 1, Annals of Math. 41(1940) 63-86; Teil 2 Acta Math. 73 (1941), 175–228; Teil 3 Acta Math. 73(1941) 229-332. Google Scholar

[4] 4. Klotz, T., On G. Bol's proof of Carathéododory's conjecture, Comm. Pure Appl. Math. 12(1959) 277–311. Google Scholar

[5] 5. Kobayashi, S. and Nomizu, K., Foundations of differential geomety, Volume 2, Interscience, 1969. Google Scholar

[6] 6. Noakes, J. L., Lagrangian immersions and Bott periodicity, Topology and its Application 25(1987) 151– 159. Google Scholar

[7] 7. Smyth, B. and Xavier, F., Efimov's theorem in dimension greater than two, Inventiones Math. 90(1987) 443–450. Google Scholar

[8] 8. Spivak, M., A comprehensive introduction to differential geomety, Volume 3, Publish or Peirsh Inc., 1975. Google Scholar

[9] 9. Titus, C. J., A proof of a conjecture ofLoewner and of the conjecture of Caratheodory on umbilic points, Acta Mathematica 131(1973)43–77. Google Scholar

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