KAHLER IMMERSIONS OF KAHLER-RICCI SOLITONS INTO DEFINITE OR INDEFINITE COMPLEX SPACE FORMS

Autor(es)

Loi, Andrea ^[1] ; Mossa, Roberto ^[2]

Afiliação do(s) autor(es)

^[1] Univ Cagliari, Dipartimento Matemat, Cagliari - Italy

^[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. 149, n. 11, p. 4931-4941, NOV 2021.
• Citações Web of Science: 0

Resumo

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)

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