The paper establishes an improved upper bound for the second Laplace eigenvalue on flat tori, yielding a uniform bound for all tori and reducing the Kao-Lai-Osting conjecture to a specific family of flat tori.
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An improved upper bound for the second eigenvalue on tori
The paper establishes an improved upper bound for the second Laplace eigenvalue on flat tori, yielding a uniform bound for all tori and reducing the Kao-Lai-Osting conjecture to a specific family of flat tori.