Isometric immersions in codimension two of warped products into space forms

Details Isometric immersions in codimension two of warped products into space forms Isometric immersions in codimension two of warped products into space forms

2004-07-22

arxiv.org/abs/math/0407389v1

Mathematics

Differential Geometry

35 pages

Scientific paper

We provide a local classification of isometric immersions $f\colon
L^p\times_\rho M^n\to\Q_c^{p+n+k}$ 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.

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