Constant mean curvature surfaces in 4-space forms
Rendiconti del Seminario Matematico della Università di Padova, Tome 79 (1988), pp. 185-202. 
@article{RSMUP_1988__79__185_0,
     author = {Eschenburg, Jost-Hinrich and Tribuzy, Renato de Azevedo},
     title = {Constant mean curvature surfaces in $4$-space forms},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {185--202},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {79},
     year = {1988},
     mrnumber = {964030},
     zbl = {0652.53003},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1988__79__185_0/}
}
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Eschenburg, Jost-Hinrich; Tribuzy, Renato de Azevedo. Constant mean curvature surfaces in $4$-space forms. Rendiconti del Seminario Matematico della Università di Padova, Tome 79 (1988), pp. 185-202. http://archive.numdam.org/item/RSMUP_1988__79__185_0/

[1] F.J. Almgren, Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem, Ann. of Math., 84 (1966), pp. 277-292. | MR | Zbl

[2] W. Blaschke, Einführung in die Differentialgeometrie, Springer (1950). | MR | Zbl

[3] R.L. Bryant, Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Diff. Geom., 17 (1982), pp. 455-473. | MR | Zbl

[4] E. Calabi, Minimal immersions of surfaces in Euclidean spheres, J. Diff. Geom., 1 (1967), pp. 111-125. | MR | Zbl

[5] S.S. Chern, On the minimal immersions of the two-sphere in a space of constant curvature, Problems in Analysis, ed. Gunning, Princeton, N. J. (1970), pp. 27-40. | MR | Zbl

[6] S.S. Chern, On surfaces of constant mean curvature in a three-dimensional space of constant curvature, Geometric Dynamics, Springer L.N. in Mathematics, 1007 (1981), pp. 104-108. | MR | Zbl

[7] J.H. Eschenburg - I.V. Guadalupe - R. Tribuzy, The fundamental equations of minimal surfaces in CP2, Math. Ann., 270 (1985), pp. 571-598. | MR | Zbl

[8] I.V. Guadalupe - C. Gutierrez - J. Sotomayor - R. Tribuzy, Principal lines on surfaces minimally immersed in constantly curved 4-spaces, Preprint IMPA (1985).

[9] H. Hopf, Differential geometry in the large (Stanford lectures, 1956), Springer L.N. in Mathematics, 1000 (1983). | MR | Zbl

[10] G.R. Jensen - M. RIGOLI, Minimal surfaces in spheres by the method of moving frames, Preprint Université de Nancy I (1983). | Zbl

[11] R. Lashof - S. SMALE, On the immersion of manifolds in Euclidean space, Ann. of Math., 68 (1959), pp. 562-583. | MR | Zbl

[12] B. Lawson, Complete minimal surfaces in S3, Ann. of Math., 92 (1970), pp. 335-374. | MR | Zbl

[13] L. Rodriguez - I. V. GUADALUPE, Normal curvature of surfaces in space forms, Pacific J. of Math., 106 (1983), pp. 95-106. | MR | Zbl

[14] E.A. Ruh, Minimal immersions of the 2-sphere in S4, Proc. Am. Math. Soc., 28 (1971), pp. 218-222. | MR | Zbl

[15] M. Spivak, A Comprehensive Introduction to Differential Geometry, vol. IV, Publish or Perish (1975). | MR | Zbl

[16] R. Tribuzy - I. V. GUADALUPE, Minimal immersions of surfaces into 4-dimensional space forms, Rend. Sem. Mat. Univ. Padova, 73 (1985), pp. 1-13. | Numdam | MR | Zbl

[17] S.T. Yau, Submanifolds with constant mean curvature, I, Am. J. of Math., 96 (1974), pp. 346-366. | MR | Zbl