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math.DG2011★ 1 cited
Inequalities for the capacity of non-contractible annuli on cylinders of constant and variable negative curvature
Bjoern Muetzel
Using a new method we give elementary estimates for the capacity of non-contractible annuli on cylinders and provide examples, where these inequalities are sharp. Here the lower bo…
math.AG2011
A new lower bound for Hermite's constant for symplectic lattices
Bjoern Muetzel
In section 1 we give an improved lower bound on Hermite's constant for symplectic lattices in even dimensions () by applying a mean-value argument from the geometry…
math.GT2011
Length spectrum of geodesic loops in manifolds of nonpositive curvature
Bjoern Muetzel
In section 1 we reformulate a theorem of Blichfeldt in the framework of manifolds of nonpositive curvature. As a result we obtain a lower bound on the number of homotopically disti…