5 citations · 11 across the 4 of their papers we have counts for
4 papers
On q-deformed Levi-Civita connections
Joakim Arnlind, Kwalombota Ilwale, Giovanni Landi
We explore the possibility of introducing q-deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Leibniz rule in analogy with q-deformed derivations. We…
Quantum Minimal Surfaces
Joakim Arnlind, Jens Hoppe, Maxim Kontsevich
We discuss quantum analogues of minimal surfaces in Euclidean spaces and tori.
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…