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math.DG2005
On non-negatively curved metrics on open five-dimensional manifolds
Valery Marenich, Mikael Bengtsson
Let be an open manifold of non-negative sectional curvature with a soul of co-dimension two. The universal cover of the unit normal bundle of the soul in s…
math.DG2004
Rigidity of non-negatively curved metrics on open five-dimensional manifolds
Valery Marenich
As the first step in the direction of the Hopf conjecture on the non-existence of metrics with positive sectional curvature on D.Gromoll and K.Tapp in [GT] suggest…
math.DG2003★ 1 cited
On Singular Connections and Geometrically Atomic Maps
Valery Marenich, Karel Packalen
We prove that the introduction of the class of geometrically atomic bundle maps by Harvey and Lawson in their theory of singular connections is not necessary because an arbitrary m…