9 citations · 57 across the 23 of their papers we have counts for
6 papers · 1 filter
Metrics and compactifications of Teichmüller spaces of flat tori
Mark Greenfield, Lizhen Ji
Using the identification of the symmetric space with the Teichmüller space of flat -tori of unit volume, we explore several metrics an…
Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space
Lizhen Ji, Rafe Mazzeo, Werner Müller +1
We study the spectral geometric properties of the scalar Laplace-Beltrami operator associated to the Weil-Petersson metric on , the Riemann moduli s…
spectrum and heat dynamics of locally symmetric spaces of higher rank
Lizhen Ji, Andreas Weber
The aim of this paper is to study the spectrum of the Laplacian and the dynamics of the heat semigroup on non-compact locally symmetric spaces of higher rank. Our work…
spectral theory and heat dynamics of locally symmetric spaces
Lizhen Ji, Andreas Weber
In this paper we first derive several results concerning the spectrum of arithmetic locally symmetric spaces whose $\Q$-rank equals one. In particular, we show that there is…
Dynamics of the heat semigroup on symmetric spaces
Lizhen Ji, Andreas Weber
The aim of this paper is to show that the dynamics of heat semigroups () on a symmetric space of non-compact type is very different from the dynamics of the heat s…
Ricci flow on surfaces with cusps
Lizhen Ji, Rafe Mazzeo, Natasa Sesum
We consider the normalized Ricci flow $\del_t g = (ρ- R)g$ with initial condition a complete metric on an open surface where is conformal to a punctured compact Riema…