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math.DG2015
On DeTurck uniqueness theorems for Ricci tensor
Sergey Stepanov
In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth manifold and a symmetric 2-tensor , construct a metric on whose Ricci tensor…
math.DG2015★ 1 cited
Harmonic Mappings into non-negatively curved Riemannian manifolds
Sergey Stepanov, Irina Tsyganok
Fifty years ago, Eells and Sampson have proved a famous theorem in which they argued that any harmonic mapping is totally geodesic if $(M, g…