4 citations · 12 across the 24 of their papers we have counts for
4 papers · 1 filter
On the Betti and Tachibana numbers of compact Einstein manifolds
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
Throughout the history of Einstein manifolds, differential geometers have shown great interest in finding the relationships between curvature and the topology of Einstein manifolds…
The Bourguignon Laplacian and harmonic symmetric bilinear forms
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
The theory of harmonic symmetric bilinear forms on a Riemannian manifold is an analogue of the theory of harmonic exterior differential forms on this manifold. To show this, we mus…
From harmonic mappings to Ricci flow due to the Bochner technique
Sergey Stepanov, Irina Aleksandrova, Irina Tsyganok
The present paper is devoted to the study a global aspect of the geometry of harmonic mappings and, in particular, infinitesimal harmonic transformations, and represents the applic…
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…