Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight

DOI10.1137/22m1478823zbMath1512.35414arXiv2202.08351OpenAlexW4361305002MaRDI QIDQ6043377

Chiu-Yen Kao, Braxton Osting, Unnamed Author

Publication date: 5 May 2023

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.08351

zbMATH Keywords

eigenvalue optimizationLaplace operatorflat toridensest lattice sphere packing problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Optimality conditions for minimax problems (49K35)

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