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Volumn 138, Issue 2, 1999, Pages 253-279

Multiplicities of Dupin hypersurfaces

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EID: 0033474797     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050378     Document Type: Article
Times cited : (65)

References (27)
  • 1
    • 0000934142 scopus 로고
    • Vector fields on spheres
    • [Ad] J. F. Adams, Vector fields on spheres, Ann. of Math. 75 (1962), 603-632
    • (1962) Ann. of Math. , vol.75 , pp. 603-632
    • Adams, J.F.1
  • 2
    • 0000314654 scopus 로고
    • Isoparametric hypersurfaces with four or six distinct principal curvatures
    • [Ab] U. Abresch, Isoparametric hypersurfaces with four or six distinct principal curvatures, Math. Ann. 264 (1983), 283-302
    • (1983) Math. Ann. , vol.264 , pp. 283-302
    • Abresch, U.1
  • 3
    • 0009182024 scopus 로고
    • The metastable homotopy of O(n)
    • [BM] M. Barratt and M. Mahowald, The metastable homotopy of O(n), Bull. AMS 70 (1964), 758-760
    • (1964) Bull. AMS , vol.70 , pp. 758-760
    • Barratt, M.1    Mahowald, M.2
  • 4
    • 0001616528 scopus 로고
    • Generalizations of the Kervaire invariant
    • [Br] E. H. Brown, Generalizations of the Kervaire invariant, Ann. of Math. 95 (1972), 368-383
    • (1972) Ann. of Math. , vol.95 , pp. 368-383
    • Brown, E.H.1
  • 5
    • 0000451132 scopus 로고
    • Sur des familles remarquables d'hypersurfaces isoparametriques dans les espace spheriques
    • [Ca] E. Cartan, Sur des familles remarquables d'hypersurfaces isoparametriques dans les espace spheriques, Math. Z. 45 (1939), 335-337
    • (1939) Math. Z. , vol.45 , pp. 335-337
    • Cartan, E.1
  • 6
    • 0003266996 scopus 로고
    • Tight and taut immersions of manifolds
    • Pitman, London
    • [CR] T. E. Cecil, P. J. Ryan, Tight and taut immersions of manifolds, Res. Notes Math. 107, Pitman, London, 1985
    • (1985) Res. Notes Math. , vol.107
    • Cecil, T.E.1    Ryan, P.J.2
  • 8
    • 0001662718 scopus 로고
    • Cliffordalgebren und neue isoparametrische hyperflächen
    • [FKM] D. Ferus, H. Karcher, H.-F. Münzner, Cliffordalgebren und neue isoparametrische Hyperflächen, Math. Z. 177 (1981), 479-502
    • (1981) Math. Z. , vol.177 , pp. 479-502
    • Ferus, D.1    Karcher, H.2    Münzner, H.-F.3
  • 9
    • 84972492428 scopus 로고
    • Dupin hypersurfaces, group actions and the double mapping cylinder
    • [GH] K. Grove and S. Halperin, Dupin hypersurfaces, group actions and the double mapping cylinder, J. Diff. Geom. 26 (1987), 429-459
    • (1987) J. Diff. Geom. , vol.26 , pp. 429-459
    • Grove, K.1    Halperin, S.2
  • 10
    • 84972541056 scopus 로고
    • Minimal submanifolds of low cohomogeneity
    • [HL] W. Y. Hsiang, H. B. Lawson, Minimal submanifolds of low cohomogeneity, J. Diff. Geometry 5 (1971), 1-38
    • (1971) J. Diff. Geometry , vol.5 , pp. 1-38
    • Hsiang, W.Y.1    Lawson, H.B.2
  • 11
    • 0009251488 scopus 로고
    • Fibre bundles
    • Springer Verlag
    • [Hu] D. Husemoller, Fibre bundles, Lect. Notes Math. 368, Springer Verlag, 1974
    • (1974) Lect. Notes Math. , vol.368
    • Husemoller, D.1
  • 12
    • 0009109062 scopus 로고
    • The Kervaire invariant of extended power manifolds
    • [Jo] J. D. S. Jones, The Kervaire invariant of extended power manifolds, Topology 17 (1974), 249-266
    • (1974) Topology , vol.17 , pp. 249-266
    • Jones, J.D.S.1
  • 13
    • 0003330993 scopus 로고
    • The geometry of iterated loop spaces
    • Springer Verlag
    • [Ma] J. P. May, The geometry of iterated loop spaces, Lect. Notes Math. 271, Springer Verlag, 1972
    • (1972) Lect. Notes Math. , vol.271
    • May, J.P.1
  • 14
    • 0003195335 scopus 로고
    • Unstable homotopy from the stable point of view
    • Springer Verlag
    • [Mil] R. J. Milgram, Unstable homotopy from the stable point of view, Lect. Notes Math. 368, Springer Verlag, 1974
    • (1974) Lect. Notes Math. , vol.368
    • Milgram, R.J.1
  • 15
    • 0000576057 scopus 로고
    • Compact Dupin hypersurfaces with three principal curvatures
    • [Miy] R. Miyaoka, Compact Dupin hypersurfaces with three principal curvatures, Math. Z. 187 (1984), 433-452
    • (1984) Math. Z. , vol.187 , pp. 433-452
    • Miyaoka, R.1
  • 16
    • 0347703722 scopus 로고
    • Construction of taut embeddings and Cecil-Ryan conjecture, collection: Geometry of manifolds (Matsumoto, 1988)
    • Academic Press, Boston, MA
    • [MO] R. Miyaoka and T. Ozawa, Construction of taut embeddings and Cecil-Ryan conjecture, Collection: Geometry of manifolds (Matsumoto, 1988) Perspect. Math. 8, Academic Press, Boston, MA, 1989, pp. 181-189
    • (1989) Perspect. Math. , vol.8 , pp. 181-189
    • Miyaoka, R.1    Ozawa, T.2
  • 17
    • 0002575338 scopus 로고
    • Isoparametrische hyperflächen in sphären (geometrischer teil)
    • [Mü1] H.-F. Münzner, Isoparametrische Hyperflächen in Sphären (geometrischer Teil), Math. Ann. 251 (1980), 57-71
    • (1980) Math. Ann. , vol.251 , pp. 57-71
    • Münzner, H.-F.1
  • 18
    • 0039614931 scopus 로고
    • Über die zerlegung der sphäre in ballbündel. II
    • [Mü2] H.-F. Münzner, Über die Zerlegung der Sphäre in Ballbündel. II., Math. Ann. 256 (1981), 215-232
    • (1981) Math. Ann. , vol.256 , pp. 215-232
    • Münzner, H.-F.1
  • 19
    • 84972568470 scopus 로고
    • On some types of isoparametric hypersurfaces in spheres. I
    • [OT] H. Ozeki and M. Takeuchi, On some types of isoparametric hypersurfaces in spheres. I., Tohoku Math. J. 27 (1975), 515-559, II 28 (1976), 7-55
    • (1975) Tohoku Math. J. , vol.27 , pp. 515-559
    • Ozeki, H.1    Takeuchi, M.2
  • 20
    • 84972568470 scopus 로고
    • [OT] H. Ozeki and M. Takeuchi, On some types of isoparametric hypersurfaces in spheres. I., Tohoku Math. J. 27 (1975), 515-559, II 28 (1976), 7-55
    • (1976) Tohoku Math. J. II , vol.28 , pp. 7-55
  • 21
    • 84889237065 scopus 로고
    • Deformations of Dupin hypersurfaces
    • [PT] U. Pinkall and G. Thorbergsson, Deformations of Dupin hypersurfaces, Proc. of AMS 107 (1989), 1037-1043
    • (1989) Proc. of AMS , vol.107 , pp. 1037-1043
    • Pinkall, U.1    Thorbergsson, G.2
  • 22
    • 0000501743 scopus 로고
    • Configuration-spaces and iterated loop spaces
    • [Se] G. Segal, Configuration-spaces and iterated loop spaces, Invent. Math. 21 (1973), 213-221
    • (1973) Invent. Math. , vol.21 , pp. 213-221
    • Segal, G.1
  • 25
    • 0002600343 scopus 로고
    • On the principal curvatures of homogeneous hypersurfaces in a sphere
    • S. Kobayashi, M. Obata and V. Takahashi, eds., in honor of K. Yano, Kinokuniya, Tokio
    • [TT] R. Takagi and T. Takahashi, On the principal curvatures of homogeneous hypersurfaces in a sphere, Differential Geometry (S. Kobayashi, M. Obata and V. Takahashi, eds.), in honor of K. Yano, Kinokuniya, Tokio, 1972, pp. 469-481
    • (1972) Differential Geometry , pp. 469-481
    • Takagi, R.1    Takahashi, T.2
  • 26
    • 0003353936 scopus 로고
    • Composition methods in homotopy groups of spheres
    • Princeton University Press, Princeton, New Jersey
    • [To] H. Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies, vol. 49, Princeton University Press, Princeton, New Jersey, 1962
    • (1962) Annals of Mathematics Studies , vol.49
    • Toda, H.1
  • 27
    • 0003266356 scopus 로고    scopus 로고
    • Elements of homotopy theory
    • Springer, New York, Heidelberg, Berlin
    • [Wh] G. Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics, vol. 61, Springer, New York, Heidelberg, Berlin
    • Graduate Texts in Mathematics , vol.61
    • Whitehead, G.1


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