| Full text | |
| Author(s): |
Loi, Andrea
;
Mossa, Roberto
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. N/A, p. 10-pg., 2023-06-06. |
| Abstract | |
We prove two rigidity theorems on holomorphic isometries into homogeneous bounded domains. The first shows that a Ka.hler-Ricci soliton induced by the homogeneous metric of a homogeneous bounded domain is trivial, i.e. Ka.hler-Einstein. In the second one we prove that a homogeneous bounded domain and the flat (definite or indefinite) complex Euclidean space are not relatives, i.e. they do not share a common Ka.hler submanifold (of positive dimension). Our theorems extend the results proved by us earlier [Proc. Amer. Math. Soc. 149 (2021), pp. 4931-4941] and by Xiaoliang Cheng and Yihong Hao [Ann. Global Anal. Geom. 60 (2021), pp. 167-180]. (AU) | |
| FAPESP's process: | 18/08971-9 - Diastatic entropy and rigidity of hyperbolic manifolds |
| Grantee: | Roberto Mossa |
| Support Opportunities: | Research Grants - Young Investigators Grants |