Abstract
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.
Citation
Marcos Dajczer. Ruy Tojeiro. "Isometric immersions in codimension two of warped products into space forms." Illinois J. Math. 48 (3) 711 - 746, Fall 2004. https://doi.org/10.1215/ijm/1258131049
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