Estimates for invariant metrics near a non-semipositive boundary point

Nguyen Quang Dieu (1) , Nikolai Nikolov (2) , Pascal J. Thomas (3)

1 Center for complex and functional analysis
2 Institute of Mathematics and Informatics
3 IMT - Institut de Mathématiques de Toulouse UMR5219

We find the precise growth of some invariant metrics near a point on the boundary of a domain where the Levi form has at least one negative eigenvalue. We also introduce a new invariant pseudometric which is convenient in this context, and give some of its general properties.

Mots clés: invariant metrics

Domaines: Variables complexes [math.CV]

Nguyen Quang Dieu, Nikolai Nikolov, Pascal J. Thomas. Estimates for invariant metrics near a non-semipositive boundary point. Journal of Geometric Analysis, 2013, 23 (2), pp.598-610. ⟨10.1007/s12220-011-9255-3⟩. ⟨hal-00641879⟩