4 citations · 6 across the 7 of their papers we have counts for
7 papers
-decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations
Sergey E. Stepanov, Irina I. Tsyganok
In present article, we consider a -orthogonal decomposition of the second fundamental form of a closed spacelike hypersurface in a Lorentzian spacetime and its applications to…
Back to almost Ricci solitons
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis. In particular, we characterize Einstein manifolds…
New applications of the Ahlfors Laplacian
Sergey E. Stepanov, Josef Mikes, Irina I. Tsyganok
In this article, we consider an orthogonal decomposition of the traceless part of the Ricci tensor of a compact Riemannian manifold and study its application to the geometry of com…
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…
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…