Filtern
Volltext vorhanden
- nein (3)
Dokumenttyp
- Wissenschaftlicher Artikel (3) (entfernen)
Sprache
- Englisch (3) (entfernen)
Gehört zur Bibliographie
- ja (3)
Schlagworte
- Integrability (1)
- Linearized equation (1)
- Moduli space (1)
- Ricci solitons (1)
Institut
We consider the volume- normalized Ricci flow close to compact shrinking Ricci solitons. We show that if a compact Ricci soliton (M, g) is a local maximum of Perelman's shrinker entropy, any normalized Ricci flowstarting close to it exists for all time and converges towards a Ricci soliton. If g is not a local maximum of the shrinker entropy, we showthat there exists a nontrivial normalized Ricci flow emerging from it. These theorems are analogues of results in the Ricci- flat and in the Einstein case (Haslhofer and Muller, arXiv:1301.3219, 2013; Kroncke, arXiv: 1312.2224, 2013).
We study infinitesimal Einstein deformations on compact flat manifolds and on product manifolds. Moreover, we prove refinements of results by Koiso and Bourguignon which yield obstructions on the existence of infinitesimal Einstein deformations under certain curvature conditions. (C) 2014 Elsevier B.V. All rights reserved.