V. Marenich

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20032009

most citedOn Singular Connections and Geometrically Atomic Maps

1 citations · 1 across the 6 of their papers we have counts for

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math.DG2006

Non-negatively curved metrics on $S^{2} \times S^{2}$ admitting Killing fields

Valery Marenich

%auto-ignore This paper has been withdrawn by the author, due to a crucial error.

math.DG2005

On non-negatively curved metrics on open five-dimensional manifolds

Valery Marenich, Mikael Bengtsson

Let $V^{n}$ be an open manifold of non-negative sectional curvature with a soul $Σ$ of co-dimension two. The universal cover $N ~$ of the unit normal bundle $N$ 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 $S^{2} \times S^{2}$ 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…

Non-negatively curved metrics on S2×S2 admitting Killing fields

On non-negatively curved metrics on open five-dimensional manifolds

Rigidity of non-negatively curved metrics on open five-dimensional manifolds

On Singular Connections and Geometrically Atomic Maps

Non-negatively curved metrics on $S^{2} \times S^{2}$ admitting Killing fields