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math.DG2025
Some numerical characteristic inequalities of compact Riemannian manifolds
Sergey Stepanov, Irina Tsyganok
In this paper, we consider numerical characteristics of the connected compact Riemannian manifold (M, g) such as the supremum and infimum of the scalar curvature s, Ricci curvature…
math.DG2023
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…