Bambah, R. P. (1954) Lattice coverings with four-dimensional spheres Mathematical Proceedings of the Cambridge Philosophical Society, 50 (2). pp. 203-208. ISSN 0305-0041
Full text not available from this repository.
Official URL: http://journals.cambridge.org/action/displayAbstra...
Related URL: http://dx.doi.org/10.1017/S0305004100029248
Abstract
1. Let Jn be a sphere with volume V(Jn) in the n-dimensional Euclidean space Rn. Let Λ be a lattice of determinant d(Λ) such that every point in Rn lies in one at least of the bodies obtained from Jn by applying to it all possible lattice translations. Then Λ is called a covering lattice for Jn and V(Jn)/d(Λ) is called the density of the lattice covering by Jn provided by Λ. The lower bound θn of V(Jn)/d(Λ) taken over all covering lattices Λ for Jn is called the density of the thinnest lattice covering by Jn.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cambridge University Press. |
| ID Code: | 1113 |
| Deposited On: | 05 Oct 2010 12:54 |
| Last Modified: | 13 May 2011 04:04 |
Repository Staff Only: item control page
