20 citations · 75 across the 11 of their papers we have counts for
4 papers · 1 filter
Multi linear formulation of differential geometry and matrix regularizations
Joakim Arnlind, Jens Hoppe, Gerhard Huisken
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be formulated in terms of multi linear algebraic structures on the space of smooth func…
On the classical geometry of embedded manifolds in terms of Nambu brackets
Joakim Arnlind, Jens Hoppe, Gerhard Huisken
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be formulated in terms of a multi-linear algebraic structure on the space of smooth fun…
Discrete curvature and the Gauss-Bonnet theorem
Joakim Arnlind, Jens Hoppe, Gerhard Huisken
For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, and a non-commutative Gauss--Bonnet theorem is shown to follow. We derive simple…
On the classical geometry of embedded surfaces in terms of Poisson brackets
Joakim Arnlind, Jens Hoppe, Gerhard Huisken
We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many aspects of their differential geometry can be expressed in terms of a Poisson alge…