3 papers
math.DG2021
Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains
Xavier Ramos Olivé, Christian Rose, Lili Wang +1
We obtain a fundamental gap estimate for classes of bounded domains with quantitative control on the boundary in a complete manifold with integral bounds on the negative part of th…
math.DG2021
Manifolds with bounded integral curvature and no positive eigenvalue lower bounds
Connor C. Anderson, Xavier Ramos Olivé, Kamryn Spinelli
We provide an explicit construction of a sequence of closed surfaces with uniform bounds on the diameter and on norms of the curvature, but without a positive lower bound on…
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.