Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135565/1/jlms0837.pd
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a d...
This thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Sh...
Fixing constants $epsilon$, $c$, we consider the class of all closed $epsilon$-thick hyperbolic 3-ma...
Fixing constants $epsilon$, $c$, we consider the class of all closed $epsilon$-thick hyperbolic 3-ma...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135341/1/jlms0227.pd
Let $M$ be an oriented geometrically finite hyperbolic manifold of infinite volume with dimension at...
Abstract. We prove that there are only finitely many closed hy-perbolic 3-manifolds with injectivity...
We provide an explicit construction of a sequence of closed surfaces with uniform bounds on the diam...
In this paper, we study the spectrum of the weighted Laplacian (also called Bakry-Émery or Witten La...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
AbstractWe discuss the problem of boundedness fromLp(Rn) toLp′(Rn) (1/p+1/p′=1, 1⩽p⩽2) of operators ...
We show that for every finite-volume hyperbolic $3$-manifold $M$ and every prime $p$ we have $\text{...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. T...
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a d...
This thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Sh...
Fixing constants $epsilon$, $c$, we consider the class of all closed $epsilon$-thick hyperbolic 3-ma...
Fixing constants $epsilon$, $c$, we consider the class of all closed $epsilon$-thick hyperbolic 3-ma...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135341/1/jlms0227.pd
Let $M$ be an oriented geometrically finite hyperbolic manifold of infinite volume with dimension at...
Abstract. We prove that there are only finitely many closed hy-perbolic 3-manifolds with injectivity...
We provide an explicit construction of a sequence of closed surfaces with uniform bounds on the diam...
In this paper, we study the spectrum of the weighted Laplacian (also called Bakry-Émery or Witten La...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
AbstractWe discuss the problem of boundedness fromLp(Rn) toLp′(Rn) (1/p+1/p′=1, 1⩽p⩽2) of operators ...
We show that for every finite-volume hyperbolic $3$-manifold $M$ and every prime $p$ we have $\text{...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. T...
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a d...
This thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Sh...