Rigidity for complete Weingarten hypersurfaces
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- by M. Dajczer and K. Tenenblat PDF
- Trans. Amer. Math. Soc. 312 (1989), 129-140 Request permission
Abstract:
We classify, locally and globally, the ruled Weingarten hypersurfaces of the Euclidean space. As a consequence of the local classification and a rigidity theorem of Dajczer and Gromoll, it follows that a complete Weingarten hypersurface which does not contain an open subset of the form ${L^3} \times {{\mathbf {R}}^{n - 3}}$, where ${L^3}$ is unbounded and $n \geq 3$, is rigid.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 312 (1989), 129-140
- MSC: Primary 53C42; Secondary 57R40
- DOI: https://doi.org/10.1090/S0002-9947-1989-0956030-4
- MathSciNet review: 956030