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Keywords:
Ricci soliton; infinitesimal harmonic transformation; Riemannian manifold
Ricci soliton; infinitesimal harmonic transformation; Riemannian manifold
Summary:
The concept of the Ricci soliton was introduced by R. S. Hamilton. The Ricci soliton is defined by a vector field and it is a natural generalization of the Einstein metric. We have shown earlier that the vector field of the Ricci soliton is an infinitesimal harmonic transformation. In our paper, we survey Ricci solitons geometry as an application of the theory of infinitesimal harmonic transformations.
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