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- W3036585775 abstract "We extend the concept of genuine rigidity of submanifolds by allowing mild singularities, mainly to obtain new global rigidity results and unify the known ones. As one of the consequences, we simultaneously extend and unify Sacksteder and Dajczer-Gromoll theorems by showing that any compact $n$-dimensional submanifold of ${mathbb R}^{n+p}$ is singularly genuinely rigid in ${mathbb R}^{n+q}$, for any $q < min{5,n} - p$. Unexpectedly, the singular theory becomes much simpler and natural than the regular one, even though all technical codimension assumptions, needed in the regular case, are removed." @default.
- W3036585775 created "2020-06-25" @default.
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- W3036585775 date "2020-06-16" @default.
- W3036585775 modified "2023-09-23" @default.
- W3036585775 title "Singular genuine rigidity" @default.
- W3036585775 doi "https://doi.org/10.4171/cmh/488" @default.
- W3036585775 hasPublicationYear "2020" @default.
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