Rigidity and Infinitesimal Deformability of Ricci Solitons
- In this paper, an obstruction against the integrability of certain infinitesimal solitonic deformations is given. Using this obstruction, we show that the complex projective spaces of even complex dimension are rigid as Ricci solitons although they have infinitesimal solitonic deformations.
| Author details: | Klaus Kröncke |
|---|---|
| DOI: | https://doi.org/10.1007/s12220-015-9608-4 |
| ISSN: | 1050-6926 |
| ISSN: | 1559-002X |
| Title of parent work (English): | The journal of geometric analysis |
| Publisher: | Springer |
| Place of publishing: | New York |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Tag: | Integrability; Linearized equation; Moduli space; Ricci solitons |
| Volume: | 26 |
| Number of pages: | 13 |
| First page: | 1795 |
| Last Page: | 1807 |
| Funding institution: | Deutsche Forschungsgemeinschaft [Sonderforschungsbereich 647] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
