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math.DG2016
On Geometric Analysis of the Dynamics of Volumetric Expansion
Sergey Stepanov
In this paper, we discuss the global aspect of the geometric dynamics of volumetric expansion and its application to the problem of the existence in the space-time of compact and c…
math.DG2016
Liouville-type theorems for conformal mappings and their application
Sergey E. Stepanov, Irina I. Tsyganok
In the present paper we prove Liouville-type theorems: non-existence theorems for conformal mappings of complete Riemannian manifolds. In addition, we give an application of these…
math.DG2016★ 2 cited
Liouville-type theorems for twisted and warped products manifolds
Sergey Stepanov
In the present paper we prove Liouville-type theorems: non-existence theorems for complete twisted and warped products of Riemannian manifolds which generalize and complement simil…