Surfaces with non-zero normal curvature tensor

Antonio Carlos Asperti; Dirk Ferus; Lucio Rodriguez

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1982)

  • Volume: 73, Issue: 5, page 109-105
  • ISSN: 0392-7881

How to cite

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Asperti, Antonio Carlos, Ferus, Dirk, and Rodriguez, Lucio. "Surfaces with non-zero normal curvature tensor." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 73.5 (1982): 109-105. <http://eudml.org/doc/289186>.

@article{Asperti1982,
author = {Asperti, Antonio Carlos, Ferus, Dirk, Rodriguez, Lucio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {11},
number = {5},
pages = {109-105},
publisher = {Accademia Nazionale dei Lincei},
title = {Surfaces with non-zero normal curvature tensor},
url = {http://eudml.org/doc/289186},
volume = {73},
year = {1982},
}

TY - JOUR
AU - Asperti, Antonio Carlos
AU - Ferus, Dirk
AU - Rodriguez, Lucio
TI - Surfaces with non-zero normal curvature tensor
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1982/11//
PB - Accademia Nazionale dei Lincei
VL - 73
IS - 5
SP - 109
EP - 105
LA - eng
UR - http://eudml.org/doc/289186
ER -

References

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  1. Asperti, A.C. - Immersions of surfaces into 4-dimensional spaces with non-zero normal curvature. To appear in «Ann. Mat. Pura App.». Zbl0453.53045MR605213DOI10.1007/BF01789417
  2. Dajczer, M. (1980) — Doctoral thesis, IMPA. 
  3. Do Carmo, M. and Wallach, N. (1970) - Representations of compact groups and minimal immersions into spheres. «J. Diff. Geom.», 4, 91-104. Zbl0197.18301MR266104
  4. Itoh, T. (1973) - Minimal surfaces in a Riemannian manifold of constant curvature. «Kodai Math. Sem. Rep.», 25, 202—214. Zbl0259.53042MR317240
  5. Kenmotsu, K. (1973) - On compact minimal surfaces with non-negative Gaussian curvature in a space of constant curvature I. «Tôhoku Math. Journ.», 25, 469-479. — II. «Tôhoku Math. Journ.», 27, 291-301. Zbl0335.53046MR365428
  6. Kenmotsu, K. (1975) - On a parametrization of minimal immersions of 𝐑 2 into S 5 . «Tôhoku Math. Journ.», 27, 83-90. MR365429
  7. Little, J.A. (1969) - On singularities of submanifolds of a higher dimensional Euclidean space. «Ann. Mat. Pura App.», 83, 261-335. Zbl0187.18903MR271970
  8. Otsuki, T. (1972) - Minimal submanifolds with m-index 2 and generalized Veronese surfaces. «J. Math. Soc. Japan», 24, 89-122. Zbl0226.53008MR295259

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