101 citations · 352 across the 34 of their papers we have counts for
6 papers · 1 filter
Pseudo-Riemannian geometry in terms of multi-linear brackets
Joakim Arnlind, Gerhard Huisken
We show that the pseudo-Riemannian geometry of submanifolds can be formulated in terms of higher order multi-linear maps. In particular, we obtain a Poisson bracket formulation of…
Classical mechanics of minimal tori in S^3
Joakim Arnlind, Jaigyoung Choe, Jens Hoppe
We formulate a class of minimal tori in S^3 in terms of classical mechanics, reveal a curious property of the Clifford torus, and note that the question of periodicity can be made…
On the geometry of Kähler-Poisson structures
Joakim Arnlind, Gerhard Huisken
We prove that the Riemannian geometry of almost Kähler manifolds can be expressed in terms of the Poisson algebra of smooth functions on the manifold. Subsequently, Kähler-Poisson…
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…
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…