1 citations · 1 across the 6 of their papers we have counts for
6 papers
Flag Foliations Functionals. The Hopf Hypothesis
Valery Marenich
With the help of a new type of functionals we study manifolds diffeomorphic to and establish, in particular, the Hopf conjecture.
Non-negatively curved metrics on admitting Killing fields
Valery Marenich
%auto-ignore This paper has been withdrawn by the author, due to a crucial error.
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…
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…
Geometric deformations of immersed surfaces in non-positively curved manifolds
Valery Marenich
This paper has been withdrawn by the author due to serious error found in main argument.
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…