Minimal surfaces with constant normal curvature

Antonio Carlos ASPERTI

doi:10.2969/jmsj/03630375

Antonio Carlos ASPERTI

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1984 Volume 36 Issue 3 Pages 375-386

DOI https://doi.org/10.2969/jmsj/03630375

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Published: 1984 Received: March 08, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] A. C. Asperti, D. Ferus and L. Rodriquez, Surfaces with non-zero normal curvature tensor, Atti Accad. Naz. Lincei, 73 (1982), 109-115.
[2] E. Calabi, Minimal immersions of surfaces in Euclidean spheres, J. Diff. Geom., 1 (1967), 111-125.
[3] M. do Carmo and N. Wallach, Representations of compact groups and minimal immersions of spheres into spheres, J. Diff. Geom., 4 (1970), 91-104.
[4] S. S. Chern, M. do Carmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of a constant length, Functional Analysis and Related Fields, Springer-Verlag, 1970, 59-75.
[5] A. G. Colares and M. do Carmo, On minimal immersions with parallel normal curvature tensor, Lecture Notes in Math., 597, Springer-Verlag, 1977, 104-113.
[6] T. Itoh, Minimal surfaces in 4-dimensional Riemannian manifolds of constant curvature, Kodai Math. Sem. Rep., 22 (1971), 451-458.
[7] K. Kenmotsu, On a parametrization of minimal immersions of R² into S⁵, Tôhoku Math. J., 27 (1975), 83-90.
[8] K. Kenmotsu, On minimal immersions of R² into Sⁿ, J. Math. Soc. Japan, 28 (1976), 182-191.
[9] K. Kenmotsu, Minimal surfaces with constant curvature in 4-dimensional space forms, Preprint, 1981.
[10] T. Otsuki, Minimal submanifolds with m-index 2 and generalized Veronese surfaces, J. Math. Soc. Japan, 24 (1972), 89-122.
[11] L. Rodriquez and I. V. Guadalupe, Normal curvature of surfaces in space forms, Pacific J. Math., 106 (1983), 95-103.
[12] N. Wallach, Extensions of locally defined minimal immersions into spheres, Arch. Math., 21 (1970), 210-213.
[13] Y. C. Wong, Contributions to the theory of surfaces in a 4-space of constant curvature, Trans. Amer. Math. Soc., 59 (1946), 467-507.
[14] S. T. Yau, Submanifolds with constant mean curvature I, Amer. J. Math., 96 (1974), 346-366.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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