67 citations · 177 across the 50 of their papers we have counts for
5 papers · 1 filter
On Area Growth in Sol
Richard Evan Schwartz
Let Sol be the -dimensional solvable Lie group whose underlying space is and whose left-invariant Riemannian metric is given by $$e^{-2z} dx^2 + e^{2z} dy^2 + dz^…
The Spheres of Sol
Matei P. Coiculescu, Richard Evan Schwartz
Let Sol be the three-dimensional solvable Lie group equipped with its standard left-invariant Riemannian metric. We give a precise description of the cut locus of the identity, and…
Elementary Surprises in Projective Geometry
Richard Evan Schwartz, Serge Tabachnikov
We discuss eight new(?) configuration theorems of classical projective geometry in the spirit of the Pappus and Pascal theorems.
Complex hyperbolic triangle groups
Richard Evan Schwartz
The theory of complex hyperbolic discrete groups is still in its childhood but promises to grow into a rich subfield of geometry. In this paper I will discuss some recent progress…
Ideal triangle groups, dented tori, and numerical analysis
Richard Evan Schwartz
We prove the Goldman-Parker Conjecture: A complex hyperbolic ideal triangle group is directly embedded in PU(2,1) if and only if the product of its three standard generators is not…