1. From infinitesimal harmonic transformations to Ricci solitons
- Creator:
- Stepanov, Sergey E., Tsyganok, Irina I., and Mikeš, Josef
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Ricci soliton, infinitesimal harmonic transformation, and Riemannian manifold
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public