HOLOMORPHIC ISOMETRIES INTO HOMOGENEOUS BOUNDED DOMAINS

Autor(es)

Loi, Andrea ; Mossa, Roberto

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. N/A, p. 10-pg., 2023-06-06.

Resumo

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)

• Processo FAPESP: 18/08971-9 - Entropia diastática e rigidez das variedades hiperbólicas
• Beneficiário: Roberto Mossa
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores