참고문헌
- T. E. Cecil and G. Jensen, Dupin hypersurfaces with four principal curvatures, Geom. Dedicata 79 (2000), no. 1, 1-49. https://doi.org/10.1023/A:1005008224753
- N. Kamran and K. Tenenblat, Laplace transformation in higher dimensions, Duke Math. J. 84 (1996), no. 1, 237-266. https://doi.org/10.1215/S0012-7094-96-08409-4
- N. Kamran and K. Tenenblat, Periodic systems for the higher-dimensional Laplace transformation, Discrete Contin. Dynam. Systems 4 (1998), no. 2, 359-378. https://doi.org/10.3934/dcds.1998.4.359
- R. Miyaoka, Dupin hypersurfaces and a Lie invariant, Kodai Math. J. 12 (1989), no. 2, 228-256. https://doi.org/10.2996/kmj/1138039036
-
R. Niebergall, Dupin hypersurfaces in
$\mathbb{R}^{4}$ , Part I, Geom. Dedicata 40 (1991), no. 1, 1-22. -
R. Niebergall, Dupin hypersurfaces in
$\mathbb{R}^{4}$ , Part II, Geom. Dedicata 41 (1992), no. 1, 5-38. - U. Pinkall, Dupin'sche Hyperflachen, Dissertation, Univ. Freiburg, 1981.
-
U. Pinkall, Dupin'sche hyperflachen in
$E^{4}$ , Manuscripta Math. 51 (1985), 89-119. https://doi.org/10.1007/BF01168348 - U. Pinkall, Dupin hypersurfaces, Math. Ann. 270 (1985), 427-440. https://doi.org/10.1007/BF01473438
-
C. M. C. Riveros and K. Tenenblat, Dupin hypersurfaces in
$\mathbb{R}^{4}$ , Canad. J. Math. 57 (2005), no. 6, 1291-1313. https://doi.org/10.4153/CJM-2005-052-1 - C. M. C. Riveros, K. Tenenblat, and L. A. Rodrigues, On Dupin hypersurfaces with constant Mobius curvature, Pacific J. Math. 236 (2008), no. 1, 89-103. https://doi.org/10.2140/pjm.2008.236.89