Semantic Scholar Open Access 1998 5 sitasi

The bottleneck conjecture

G. Kuperberg

Lihat Sumber DOI

Abstrak

The Mahler volume of a centrally symmetric convex body K is dened as M(K )=( Vol K)(VolK). Mahler conjectured that this volume is minimized when K is a cube. We introduce the bottleneck conjecture, which stipulates that a certain convex body K } KK has least volume when K is an ellip- soid. If true, the bottleneck conjecture would strengthen the best current lower bound on the Mahler volume due to Bourgain and Milman. We also generalize the bottleneck conjecture in the context of indenite orthogonal geometry and prove some special cases of the generalization. This article is in the xxx archive as: math.MG/9811119

Topik & Kata Kunci

Mathematics

Penulis (1)

G. Kuperberg

Format Sitasi

APA MLA BibTeX

Kuperberg, G. (1998). The bottleneck conjecture. https://doi.org/10.2140/gt.1999.3.119

Akses Cepat

Lihat di Sumber doi.org/10.2140/gt.1999.3.119

Informasi Jurnal

Tahun Terbit: 1998
Bahasa: en
Total Sitasi: 5×
Sumber Database: Semantic Scholar
DOI: 10.2140/gt.1999.3.119
Akses: Open Access ✓