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Reflective Euclidean hypersurfaces

✍ Scribed by Daniel Drucker


Publisher
Springer
Year
1991
Tongue
English
Weight
49 KB
Volume
39
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES


Euclidean hypersurfaces with reflection
✍ Daniel Drucker πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 213 KB

Conic sections and certain hypersurfaces of revolution derived from them are characterized as the only nondegenerate smooth Euclidean hypersurfaces having reflection properties.

Nonnegatively curved ends of Euclidean h
✍ Stephanie B. Alexander; Robert J. Currier πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 856 KB

The structure of the ends of immersed Euclidean hypersurfaces is described, assuming curvature positive outside a compact subset, or curvature nonnegative and nullity of the second fundamental form at most one outside a compact subset. Examples show the results are optimal.