3 papers
math.CV1996
Divergence of projective structures and lengths of measured laminations
Harumi Tanigawa
Given a complex structure, we investigate diverging sequences of projective structures on the fixed complex structure in terms of Thurston's parametrization. In particular, we will…
math.DG1995
Grafting, harmonic maps, and projective structures on surfaces
Harumi Tanigawa
Grafting is a surgery on Riemann surfaces introduced by Thurston which connects hyperbolic geometry and the theory of projective structures on surfaces. We will discuss the space o…
math.DG1995
Projective structures with discrete holonomy representations
Hiroshige Shiga, Harumi Tanigawa
Let denote the set of projective structures on a compact Riemann surface whose holonomy representations are discrete. We will show that each component of the interior of…