| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Cagliari, Dipartimento Matemat, Cagliari - Italy
[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 149, n. 11, p. 4931-4941, NOV 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
Let (g, X) be a Kahler-Ricci soliton (KRS) on a complex manifold M. We prove that if the Kahler manifold (M, g) can be Kahler immersed into a definite or indefinite complex space form then g is Einstein. Notice that there is no topological assumptions on the manifold M and the Kahler immersion is not required to be injective. Our result extends the result obtained in Bedulli and Gori {[}Proc. Amer. Math. Soc. 142 (2014), pp. 1777-1781] asserting that a KRS on a compact Kahler submanifold M subset of CPN which is a complete intersection is Kahler-Einstein (KE). (AU) | |
| FAPESP's process: | 18/08971-9 - Diastatic entropy and rigidity of hyperbolic manifolds |
| Grantee: | Roberto Mossa |
| Support Opportunities: | Research Grants - Young Investigators Grants |