A characterization of the sphere and euclidean space by transformation groups
β Scribed by Herbert Abels; Annette Lauer
- Publisher
- Springer-Verlag
- Year
- 1976
- Tongue
- French
- Weight
- 349 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0025-5874
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## Implications of the Euclidean Normalizers of Space Groups in Reciprocal Space Each crystal structure with symmetry G exactly corresponds to i different but equivalent coordinate descriptions of the atomic arrangement and to i different but equivalent structure-factor lists. The number i equals
Recent results in fully nonlinear pde's single out smooth bounded domains in the euclidean 3-space whose boundary has non-vanishing mean curvature. The literature provides no example of such domains when the genus of the boundary is strictly larger than 1. This note fills the gap with an elementary