S. Seto

activity

20172020

p

-Laplacian under integral curvature condition

1 citations · 2 across the 2 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DG2018

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.

math.DG2018

First eigenvalue of the $p$ -Laplacian on Kähler manifolds

Casey Blacker, Shoo Seto

We prove a Lichnerowicz type lower bound for the first nontrivial eigenvalue of the $p$ -Laplacian on Kähler manifolds. Parallel to the $p = 2$ case, the first eigenvalue lower boun…

math.DG2018

Fundamental gap estimate for convex domains on sphere -- the case $n = 2$

Xianzhe Dai, Shoo Seto, Guofang Wei

In [SWW16, HW17] it is shown that the difference of the first two eigenvalues of the Laplacian with Dirichlet boundary condition on convex domain with diameter $D$ of sphere $\math…

Zhong-Yang type eigenvalue estimate with integral curvature condition

First eigenvalue of the p-Laplacian on Kähler manifolds

Fundamental gap estimate for convex domains on sphere -- the case n=2

First eigenvalue of the $p$ -Laplacian on Kähler manifolds

Fundamental gap estimate for convex domains on sphere -- the case $n = 2$