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math.AP2019
Derivation of a homogenized bending--torsion theory for rods with micro-heterogeneous prestrain
Robert Bauer, Stefan Neukamm, Mathias Schäffner
In this paper we investigate rods made of nonlinearly elastic, composite--materials that feature a micro-heterogeneous prestrain that oscillates (locally periodic) on a scale that…
math.AP2002
Analysis of the horizontal Laplacian for the Hopf fibration
Robert O. Bauer
We study the horizontal Laplacian associated to the Hopf fibration with arbitrary Chern number . We use representation theory to calculate the spectrum, descr…