@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://www.numdam.org/item/RSMUP_1988__79__185_0/} }
TY - JOUR AU - Eschenburg, Jost-Hinrich AU - Tribuzy, Renato de Azevedo TI - Constant mean curvature surfaces in $4$-space forms JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1988 SP - 185 EP - 202 VL - 79 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1988__79__185_0/ LA - en ID - RSMUP_1988__79__185_0 ER -
%0 Journal Article %A Eschenburg, Jost-Hinrich %A Tribuzy, Renato de Azevedo %T Constant mean curvature surfaces in $4$-space forms %J Rendiconti del Seminario Matematico della Università di Padova %D 1988 %P 185-202 %V 79 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1988__79__185_0/ %G en %F RSMUP_1988__79__185_0
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://www.numdam.org/item/RSMUP_1988__79__185_0/
[1] 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] Einführung in die Differentialgeometrie, Springer (1950). | MR | Zbl
,[3] Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Diff. Geom., 17 (1982), pp. 455-473. | MR | Zbl
,[4] Minimal immersions of surfaces in Euclidean spheres, J. Diff. Geom., 1 (1967), pp. 111-125. | MR | Zbl
,[5] 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] 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] The fundamental equations of minimal surfaces in CP2, Math. Ann., 270 (1985), pp. 571-598. | MR | Zbl
- - ,[8] Principal lines on surfaces minimally immersed in constantly curved 4-spaces, Preprint IMPA (1985).
- - - ,[9] Differential geometry in the large (Stanford lectures, 1956), Springer L.N. in Mathematics, 1000 (1983). | MR | Zbl
,[10] M. RIGOLI, Minimal surfaces in spheres by the method of moving frames, Preprint Université de Nancy I (1983). | Zbl
-[11] S. SMALE, On the immersion of manifolds in Euclidean space, Ann. of Math., 68 (1959), pp. 562-583. | MR | Zbl
-[12] Complete minimal surfaces in S3, Ann. of Math., 92 (1970), pp. 335-374. | MR | Zbl
,[13] I. V. GUADALUPE, Normal curvature of surfaces in space forms, Pacific J. of Math., 106 (1983), pp. 95-106. | MR | Zbl
-[14] Minimal immersions of the 2-sphere in S4, Proc. Am. Math. Soc., 28 (1971), pp. 218-222. | MR | Zbl
,[15] A Comprehensive Introduction to Differential Geometry, vol. IV, Publish or Perish (1975). | MR | Zbl
,[16] 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] Submanifolds with constant mean curvature, I, Am. J. of Math., 96 (1974), pp. 346-366. | MR | Zbl
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