Email this article The Ricci flow as a geodesic on the manifold of Riemannian metrics
- Authors: Ghahremani-Gol H.1, Razavi A.1
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Affiliations:
- Amirkabir University of Technology
- Issue: Vol 51, No 5 (2016)
- Pages: 215-221
- Section: Differential Geometry
- URL: https://journal-vniispk.ru/1068-3623/article/view/227946
- DOI: https://doi.org/10.3103/S1068362316050010
- ID: 227946
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Abstract
The Ricci flow is an evolution equation in the space of Riemannian metrics.A solution for this equation is a curve on the manifold of Riemannian metrics. In this paper we introduce a metric on the manifold of Riemannian metrics such that the Ricci flow becomes a geodesic.We show that the Ricci solitons introduce a special slice on the manifold of Riemannian metrics.
About the authors
H. Ghahremani-Gol
Amirkabir University of Technology
Author for correspondence.
Email: ghahremanigol@aut.ac.ir
Iran, Islamic Republic of, Tehran
A. Razavi
Amirkabir University of Technology
Email: ghahremanigol@aut.ac.ir
Iran, Islamic Republic of, Tehran
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