4 citations · 9 across the 7 of their papers we have counts for
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Geometry in the large of the kernel of Lichnerowicz Laplacians and its applications
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
There are very few general theorems on the kernel of the well-known Lichnerowicz Laplacian. In the present article we consider the geometry of the kernel of this operator restricte…
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…
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…
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…
A remark on the Laplacian operator which acts on symmetric tensors
S. E. Stepanov, I. I. Tsyganok, I. A. Aleksandrova
More than forty years ago J. H. Samson has defined the Laplacian acting on the space of symmetric covariant -tensors on an -dimensional Riemannian manifold …
On a Laplacian which acts on symmetric tensors
J. Mikesh, S. E. Stepanov, I. I. Tsyganok
In the present paper we show properties of a little-known Laplacian operator acting on symmetric tensors. This operator is an analogue of the well known Hodge-de Rham Laplacian whi…