@article{RSMUP_1985__73__1_0, author = {Tribuzy, Renato de Azevedo and Valle Guadalupe, Irwen}, title = {Minimal immersions of surfaces into $4$-dimensional space forms}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {1--13}, publisher = {Seminario Matematico of the University of Padua}, volume = {73}, year = {1985}, mrnumber = {799891}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_1985__73__1_0/} }
TY - JOUR AU - Tribuzy, Renato de Azevedo AU - Valle Guadalupe, Irwen TI - Minimal immersions of surfaces into $4$-dimensional space forms JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1985 SP - 1 EP - 13 VL - 73 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_1985__73__1_0/ LA - en ID - RSMUP_1985__73__1_0 ER -
%0 Journal Article %A Tribuzy, Renato de Azevedo %A Valle Guadalupe, Irwen %T Minimal immersions of surfaces into $4$-dimensional space forms %J Rendiconti del Seminario Matematico della Università di Padova %D 1985 %P 1-13 %V 73 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1985__73__1_0/ %G en %F RSMUP_1985__73__1_0
Tribuzy, Renato de Azevedo; Valle Guadalupe, Irwen. Minimal immersions of surfaces into $4$-dimensional space forms. Rendiconti del Seminario Matematico della Università di Padova, Tome 73 (1985), pp. 1-13. http://archive.numdam.org/item/RSMUP_1985__73__1_0/
[1] Riemann surfaces, Princeton University Press, Princeton, 1960. | MR | Zbl
- ,[2] Immersions of surfaces into 4-dimensional spaces with nonzero normal curvature, Ann. Mat. Pura Appl., 125 (1980), pp. 313-328. | MR | Zbl
,[3] Every compact Riemann surface may be immersed conformally and minimally into S4, preprint.
,[4] Minimal immersions of surfaces in euclidean spheres, J. Diff. Geometry, 1 (1967), pp. 111-125. | MR | Zbl
,[5] Representation of compact groups and minimal immersions into spheres, J. Diff. Geometry, 4 (1970), pp. 91-104. | MR | Zbl
- ,[6] Geometry of submanifolds, New York, M. Dekker (1973). | MR | Zbl
,[7] On minimal spheres in the four-sphere, in Studies and Essays, presented to Y. W. Chen, Taiwan (1970), pp. 137-150. | MR | Zbl
,[8] On the minimal immersions of the two sphere in a space of constant curvature, Problems in Analysis, Princeton University Press (1970), pp. 27-40. | MR | Zbl
,[9] Remarks on the Riemannian metric of a minimal submanifold, preprint.
- ,[10] Minimal surfaces in 4-dimensional Riemannian manifolds of constant curvature, Kodai Math. Sem. Rep., 23 (1971), pp. 415-458. | MR | Zbl
,[11] Complete minimal surfaces in S3, Ann. of Math., 92 (1970), pp. 335-374. | Zbl
,[12] Some intrinsic characterizations of minimal surfaces, J. d'Analyse Mathematique, 24 (1971), pp. 152-161. | MR | Zbl
,[13] On singularities of submanifolds of a higher dimensional Euclidean space, Ann. Mat. Pura Appl., 83 (1969), pp. 261-335. | MR | Zbl
,[14] Differential geometry of two-dimensional surfaces in hyperspaces, Proc. of the Academy of Arts and Sciences, 52 (1916), pp. 267-368. | JFM
- ,[15] Reduction of codimension of 1-regular immersions, preprint.
- ,[16] I. V. GUADALUPE, Normal curvature of surfaces in space forms, Pacific J. of Math, 106 n. 1 (1983). | MR | Zbl
-[17] A comprehensive introduction to differential geometry, vol. 4, Publish or Perish, Inc. (1975). | Zbl
,[18] Contributions to the theory of surfaces in 4-space of constant curvature, Trans. Amer. Math. Soc., 59 (1946), pp. 346-366. | MR | Zbl
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