HEIGHT OF FLAT TORI

Authors
CHIU P
Citation
P. Chiu, HEIGHT OF FLAT TORI, Proceedings of the American Mathematical Society, 125(3), 1997, pp. 723-730
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
3
Year of publication
1997
Pages
723 - 730
Database
ISI
SICI code
0002-9939(1997)125:3<723:HOFT>2.0.ZU;2-R
Abstract
Relations between the height and the determinant of the Laplacian on t he space of n-dimensional flat tori and the classical formulas of Kron ecker and Epstein are established. Extrema of the height are shown to exist, and results for a global minimum for 2-d tori and a local minim um for 3-d tori are given, along with more general conjectures of Sarn ak and Rankin.