On minimal surfaces with the Ricci condition in space forms
Makoto Sakaki
Source: Kodai Math. J. Volume 17, Number 3
(1994), 452-455.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.kmj/1138040039
Mathematical Reviews number (MathSciNet): MR1296915
Zentralblatt MATH identifier: 0823.53043
Digital Object Identifier: doi:10.2996/kmj/1138040039
References
[1] R. Bryant, Minimal surfaces of constant curvaturein 5n, Trans. Amer. Math. Soc. 290 (1985), 259-271.
Mathematical Reviews (MathSciNet): MR787964
Zentralblatt MATH: 0572.53002
[2] S. S. Chern and J. G. Wolfson, Harmonic maps of the two-sphere into a complex Grassman manifold II, Ann. of Math. 125 (1987), 301-335.
Mathematical Reviews (MathSciNet): MR881271
Zentralblatt MATH: 0627.58017
[3] G. D. Johnson, An intrinsic characterization of a class of minimal surfaces in constant curvatur manifolds, Pacific J. Math. 149 (1991), 113-125.
Mathematical Reviews (MathSciNet): MR1099786
Zentralblatt MATH: 0729.53053
[4] K. Kenmotsu, On minimal immersions of R2 into SN, J. Math. Soc. Japan 28 (1976), 182-191
Mathematical Reviews (MathSciNet): MR405218
Zentralblatt MATH: 0335.53048
[5] H. B. Lawson, Complete minimal surfaces in S3, Ann. of Math. 92 (1970), 335-374
Mathematical Reviews (MathSciNet): MR270280
Zentralblatt MATH: 0205.52001
[6] H. B. Lawson, Some intrinsic characterizations of minimal surfaces, J. Analyse Math. 24 (1971), 151-161
Mathematical Reviews (MathSciNet): MR284922
Zentralblatt MATH: 0251.53003
[7] H. B. Lawson, Lectures on Minimal Submanifolds, Publish or Perish, Inc., Berkeley, 1980
[8] R. Naka, Some results on minimal surfaces with the Ricci condition, Minimal Submanifolds an Geodesies (M. Obata, ed.), 1978, Kaigai Publ., Tokyo, 121-142.
Mathematical Reviews (MathSciNet): MR574261
Zentralblatt MATH: 0434.53007
[9] M. Sakaki, Exceptional minimal surfaces with the Ricci condition, Tsukuba J. Math. 16 (1992), 161-167
Mathematical Reviews (MathSciNet): MR1178671
Zentralblatt MATH: 0769.53036
[10] M. Sakaki, Minimal surfaces with the Ricci condition in 4-dimensional space forms, Proc. Amer Math. Soc., 121 (1994), 573-577.
Mathematical Reviews (MathSciNet): MR1195731
Zentralblatt MATH: 0807.53048
[11] J. G. Wolfson, Harmonic sequences and harmonic maps of surfaces into complex Grassman manifolds, J. Diff. Geom. 27 (1988), 161-178.
Mathematical Reviews (MathSciNet): MR918462
Zentralblatt MATH: 0642.58021
2013 © Tokyo Institute of Technology, Department of Mathematics
Kodai Mathematical Journal
