Isometric immersions in codimension two of warped products into space forms
Dajczer, Marcos ; Tojeiro, Ruy
Illinois J. Math., Tome 48 (2004) no. 3, p. 711-746 / Harvested from Project Euclid
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We provide a local classification of \iis $f\colon\,L^p\times_\rho M^n\to\Q_c^{\,p+n+k}$ in codimensions $k=1, 2$ of warped products of Riemannian manifolds into space forms, under the assumptions that $n\geq k+1$ and that $N^{p+n}=L^p\times_\rho M^n$ has no points with the same constant sectional curvature $c$ as the ambient space form.
Publié le : 2004-07-15
Classification:  53C42 
@article{1258131049,
     author = {Dajczer, Marcos and Tojeiro, Ruy},
     title = {Isometric immersions in codimension two of warped products into space forms},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 711-746},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131049}
}

Dajczer, Marcos; Tojeiro, Ruy. Isometric immersions in codimension two of warped products into space forms. Illinois J. Math., Tome 48 (2004) no. 3, pp.  711-746. http://gdmltest.u-ga.fr/item/1258131049/