26 citations · 177 across the 51 of their papers we have counts for
4 papers · 1 filter
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 vanishing of the fundamental gap of convex domains in
Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3
For the Laplace operator with Dirichlet boundary conditions on convex domains in , , we prove that the product of the fundamental gap with the square of the d…
Ancient solutions for flow by powers of the curvature in
Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3
We construct a new compact convex embedded ancient solution of the flow in , that lies between two parallel lines. Using this solution we class…
Eigenvalue estimates for Kato-type Ricci curvature conditions
Christian Rose, Guofang Wei
We prove that optimal lower eigenvalue estimates of Zhong-Yang type as well as a Cheng-type upper bound for the first eigenvalue hold on closed manifolds assuming only a Kato condi…