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4 papers · 2 filters
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…
theory for the prescribed mean curvature equation with Dirichlet data
Theodora Bourni
In this work we study solutions of the prescribed mean curvature equation over a general domain that do not necessarily attain the given boundary data. To such a solution, we can n…
Curvature estimates for surfaces with bounded mean curvature
Theodora Bourni, Giuseppe Tinaglia
Estimates for the norm of the second fundamental form, , play a crucial role in studying the geometry of surfaces. In fact, when is bounded the surface cannot bend too s…
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…