Geodesic
From infinitesimal harmonic transformations to Ricci solitons
Mathematica Bohemica, Tome 138 (2013) no. 1, pp. 25-36.

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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.
DOI : 10.21136/MB.2013.143227
Classification : 53C20, 53C25, 53C43
Keywords: Ricci soliton; infinitesimal harmonic transformation; Riemannian manifold 
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Stepanov, Sergey E.; Tsyganok, Irina I.; Mikeš, Josef. From infinitesimal harmonic transformations to Ricci solitons. Mathematica Bohemica, Tome 138 (2013) no. 1, pp. 25-36. doi : 10.21136/MB.2013.143227. http://geodesic.mathdoc.fr/articles/10.21136/MB.2013.143227/

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