Minimal immersions of surfaces into n -dimensional space forms

Irwen Valle Guadalupe

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 94, page 155-163
  • ISSN: 0041-8994

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Guadalupe, Irwen Valle. "Minimal immersions of surfaces into $n$-dimensional space forms." Rendiconti del Seminario Matematico della Università di Padova 94 (1995): 155-163. <http://eudml.org/doc/108367>.

@article{Guadalupe1995,
author = {Guadalupe, Irwen Valle},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {curvature ellipse; curvature inequalities; minimal surfaces in space forms},
language = {eng},
pages = {155-163},
publisher = {Seminario Matematico of the University of Padua},
title = {Minimal immersions of surfaces into $n$-dimensional space forms},
url = {http://eudml.org/doc/108367},
volume = {94},
year = {1995},
}

TY - JOUR
AU - Guadalupe, Irwen Valle
TI - Minimal immersions of surfaces into $n$-dimensional space forms
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 94
SP - 155
EP - 163
LA - eng
KW - curvature ellipse; curvature inequalities; minimal surfaces in space forms
UR - http://eudml.org/doc/108367
ER -

References

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  1. [1] A.C. Asperti, D. Ferus - L. Rodriguez, Surfaces with non-zero normal curvature tensor, Atti Accad. Naz. zincei, 73 (1982), pp. 109-115. Zbl0531.53045MR726288
  2. [2] A.C. Asperti, Generic minimal Surfaces, Math. Z., 200 (1989), pp. 181-186. Zbl0661.53036MR978293
  3. [3] A.C. Asperti, Superfícies mínimas genéricas e elipses de curvatura generalizadas, Thesis de Livre-Docência (1986), Universidade de São Paulo. 
  4. [4] M. Do Carmo - N. Wallach, Representations of compact groups and minimal immersions of spheres into spheres, J. Diff. Geometry, 4 (1970), pp. 91-104. Zbl0197.18301MR266104
  5. [5] J.A. Erbacher, Reduction of the codimension of an isometric immersion, J. Diff. Geometry, 5 (1971), pp. 333-340. Zbl0221.53031MR288701
  6. [6] T. Itoh, Minimal surfaces in 4-dimensional Riemannian manifolds of constant curvature, Kodai Math. Sem. Rep., 22 (1971), pp. 451-458. Zbl0249.53045MR317248
  7. [7] K. Kenmotsu, On a parametrization of minimal immersions of R2 into S5, Tôhoku Math. J., 27 (1975), pp. 83-90. Zbl0297.53027MR365429
  8. [8] K. Kenmotsu, On minimal immersions of R2 into Sn, Math. Soc. Japan, 28 (1976), pp. 182-191. Zbl0335.53048MR405218
  9. [9] L. Rodriguez - I. V. GUADALUPE, Normal curvature of surfaces in space forms, Pacific J. Math., 106 (1983), pp. 95-103. Zbl0515.53044MR694674
  10. [10] R. Tribuzy - I. V. GUADALUPE, Minimal immersions of surfaces into 4-dimensional space forms, Rend. Sem. Mat. Univ. Padova, 73 (1985), pp. 1-13. Zbl0573.53036MR799891

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