The $L^1$-$L^{\infty }$-geometry of Teichmüller space -- Second order infinitesimal structures

Hideki Miyachi

The $L^1$-$L^{\infty }$ geometry is the Finsler geometry of the Teichmüller space by the Teichmüller metric and the $L^1$-norm function of holomorphic quadratic differentials. In this…