Inégalités isosystoliques conformes.
Inequalities for Möbius transformations and discrete groups.
Inextremization and Boundedness on Open Riemann Surfaces.
Infinite group actions on spheres.
This paper is mainly intended as a survey of the recent work of a number of authors concerning certain infinite group actions on spheres and to raise some as yet unanswered questions. The main thrust of the current research in this area has been to decide what topological and geometrical properties characterise the infinite conformal or Möbius groups. One should then obtain reasonable topological or geometrical restrictions on a subgroup G of the homeomorphism group of a sphere which will imply...
Interpolation and Sampling for Generalized Bergman Spaces on finite Riemann surfaces.
Intersections in hyperbolic manifolds.
Invariants from triangulations of hyperbolic 3-manifolds.
Invariants of translation surfaces
We definite invariants of translation surfaces which refine Veech groups. These aid in exact determination of Veech groups. We give examples where two surfaces of isomorphic Veech group cannot even share a common tree of balanced affine coverings. We also show that there exist translation surfaces of isomorphic Veech groups which cannot affinely cover any common surface. We also extend a result of Gutkin and Judge and thereby give the first examples of noncompact Fuchsian...
Involutions and simple closed geodesics on Riemann surfaces.
Involutions of compact Klein surfaces.
Isometrische und Konforme Verheftung
Isomorphisms Between Certain Function Fields Over Compact Riemann Surfaces.
Isoperimetric inequalities and Dirichlet functions of Riemann surfaces.
We prove that if a Riemann surface has a linear isoperimetric inequality and verifies an extra condition of regularity, then there exists a non-constant harmonic function with finite Dirichlet integral in the surface.We prove too, by an example, that the implication is not true without the condition of regularity.
Isoperimetric inequalities in Riemann surfaces of infinite type.
Iteration on Teichmüller space.