Дифференциальная геометрия многообразий фигур (Nov 2022)
Complete Riemannian manifolds with Killing — Ricci and Codazzi — Ricci tensors
Abstract
The purpose of this paper is to prove of Liouville type theorems, i. e., theorems on the non-existence of Killing — Ricci and Codazzi — Ricci tensors on complete non-compact Riemannian manifolds. Our results complement the two classical vanishing theorems from the last chapter of famous Besse’s monograph on Einstein manifolds.
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