4 citations · 9 across the 7 of their papers we have counts for
10 papers
A Sharp Diameter-Dependent Lower Bound for the First Nonzero Neumann Eigenvalue of Geodesic Triangles in Space Forms
Shoo Seto, Guofang Wei, Yusen Xia
We prove a sharp lower bound for the first nonzero Neumann eigenvalue of geodesic triangles of given diameter in two-dimensional space forms. The bound is given by the first positi…
Explicit lower bound of the first eigenvalue of the Laplacian on Kähler manifolds
Benjamin Rutkowski, Shoo Seto
We establish an explicit lower bound of the first eigenvalue of the Laplacian on Kähler manifolds based off the comparison results of Li and Wang. The lower bound will depend on th…
Fundamental gaps of spherical triangles
Shoo Seto, Guofang Wei, Xuwen Zhu
We compute Dirichlet eigenvalues and eigenfunctions explicitly for spherical lunes and the spherical triangles which are half the lunes, and show that the fundamental gap goes to i…
The first nonzero eigenvalue of the -Laplacian on Differential forms
Shoo Seto
we introduce a generalization of the -Laplace operator to act on differential forms and generalize an estimate of Gallot-Meyer for the first nonzero eigenvalue on closed Riemann…
Zhong-Yang type eigenvalue estimate with integral curvature condition
Xavier Ramos Olivé, Shoo Seto, Guofang Wei +1
We prove a sharp Zhong-Yang type eigenvalue lower bound for closed Riemannian manifolds with control on integral Ricci curvature.
First eigenvalue of the -Laplacian on Kähler manifolds
Casey Blacker, Shoo Seto
We prove a Lichnerowicz type lower bound for the first nontrivial eigenvalue of the -Laplacian on Kähler manifolds. Parallel to the case, the first eigenvalue lower boun…