14 citations · 32 across the 10 of their papers we have counts for
13 papers
Variations of Weyl's tube formula
Annegret Burtscher, Gert Heckman
In 1939 Weyl showed that the volume of spherical tubes around compact submanifolds M of Euclidean space depends solely on the induced Riemannian metric on M. Can this intrinsic nat…
Hyperbolic Geometry and Moduli of Real Curves of Genus Three
Gert Heckman, Sander Rieken
The moduli space of smooth real plane quartic curves consists of six connected components. We prove that each of these components admits a real hyperbolic structure. These connecte…
Angular Momenta of Relative Equilibrium Motions and Real Moment Map Geometry
Gert Heckman, Lei Zhao
Chenciner and Jimenez Perez showed that the range of the spectra of the angular momenta of all the rigid motions of a fixed central configuration in a general Euclidean space form…
Two Lorentzian Lattices
Gert Heckman, Sander Rieken
We prove a conjecture formulated by the first author, which in turn provides a good deal of evidence for the monstrous proposal of Daniel Allcock.
An Odd Presentation of
Gert Heckman, Sander Rieken
The Weyl group has an odd presentation due to Christopher Simons as factor group of the Coxeter group on the Petersen graph by deflation of the free hexagons. The…
Matrix Valued Orthogonal Polynomials for Gelfand Pairs of Rank One
Gert Heckman, Maarten van Pruijssen
In this paper we study matrix valued orthogonal polynomials of one variable associated with a compact connected Gelfand pair (G,K) of rank one, as a generalization of earlier work…