Une inégalité optimale pour des sous-variétés riemanniennes dans des espaces pseudo-Riemanniens
DOI:
https://doi.org/10.22199/S07160917.1997.0002.00006Keywords:
Sous-variété riemannienne, Courbure, Espace a courbure constanteAbstract
References
[1] B. Y. Chen paper Geometry of submanifolds Marcel Dekker, New York, (1973).
[2] B. Y. Chen Sorne pinching and classification theorems for minímal submanifolds Archiv. Math., pages 568-578, Vol. 60, (1993).
[3] B. Y. Chen Mean curvature and shape operator of isometric immersions in real space-forms Glasgow Math. J, pages 87-97, Vol. 38, (1996).
[4] S. S. Chern Minimal submanifolds in a Riemannian manifold Univ. Of Kansas, Lawrence, Kansas, (1968).
[5] P. J. De Smet, F. Dillen, L. Verstraelen and L. Vranken A pointwise inequality in Submanifold Theory, preprint.
[6] l. V. Guadalupe and L. Rodríguez Normal curvature of surfaces in space forms Pacific J. Math., pages 95-103, Vol. 106, (1983).
[7] B. Gmira et L. Verstraelen Les courbures externes et internes des surfaces riemanniennes dans des espaces pseudo-ríemanniens, à paraître.
[8] J. A. Líttle paper On singularities of submanifolds of higher dimensional Euclidian space jour Ann. Mat. Pura Appl., pages 261-335, Vol. 83, (1996).
[9] B.O'Neíll Semi-Ríemannian Geometry wíth applications to Relativity Academic Press, Inc., (1983).
[10] P. Wintgen Sur l'inégalité de Chen-Willmore C. R. Acad. Se. Paris. pages 993-995, Vol. 288, (l979).
[11] Y. C. Wong Contributions to the theory of surfaces in 4-space of constant curvature Trans. Amer. Math. Soc., pages 467-507, Vol. 59, (1946).
[2] B. Y. Chen Sorne pinching and classification theorems for minímal submanifolds Archiv. Math., pages 568-578, Vol. 60, (1993).
[3] B. Y. Chen Mean curvature and shape operator of isometric immersions in real space-forms Glasgow Math. J, pages 87-97, Vol. 38, (1996).
[4] S. S. Chern Minimal submanifolds in a Riemannian manifold Univ. Of Kansas, Lawrence, Kansas, (1968).
[5] P. J. De Smet, F. Dillen, L. Verstraelen and L. Vranken A pointwise inequality in Submanifold Theory, preprint.
[6] l. V. Guadalupe and L. Rodríguez Normal curvature of surfaces in space forms Pacific J. Math., pages 95-103, Vol. 106, (1983).
[7] B. Gmira et L. Verstraelen Les courbures externes et internes des surfaces riemanniennes dans des espaces pseudo-ríemanniens, à paraître.
[8] J. A. Líttle paper On singularities of submanifolds of higher dimensional Euclidian space jour Ann. Mat. Pura Appl., pages 261-335, Vol. 83, (1996).
[9] B.O'Neíll Semi-Ríemannian Geometry wíth applications to Relativity Academic Press, Inc., (1983).
[10] P. Wintgen Sur l'inégalité de Chen-Willmore C. R. Acad. Se. Paris. pages 993-995, Vol. 288, (l979).
[11] Y. C. Wong Contributions to the theory of surfaces in 4-space of constant curvature Trans. Amer. Math. Soc., pages 467-507, Vol. 59, (1946).
Published
2018-04-04
How to Cite
[1]
B. Gmira and L. Verstraelen, “Une inégalité optimale pour des sous-variétés riemanniennes dans des espaces pseudo-Riemanniens”, Proyecciones (Antofagasta, On line), vol. 16, no. 2, pp. 181-194, Apr. 2018.
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