On the Delta-property for complex space forms

Autor(es)

Mossa, Roberto

• Tipo de documento: Artigo Científico
• Fonte: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG; v. 91, n. 1, p. 7-pg., 2021-02-17.

Resumo

Inspired by the work of Lu and Tian (Duke Math J 125:351--387, 2004), Loi et al. address in (Abh Math Semin Univ Hambg 90: 99-109, 2020) the problem of studying those Kahler manifolds satisfying the Delta-property, i.e. such that on a neighborhood of each of its points the k-th power of the Kahler Laplacian is a polynomial function of the complex Euclidean Laplacian, for all positive integer k. In particular they conjectured that if a Kahler manifold satisfies the Delta-property then it is a complex space form. This paper is dedicated to the proof of the validity of this conjecture. (AU)

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