On the zero set of the Kobayashi-Royden pseudometric of the spectral unit ball

• Autorzy: Nikolai Nikolov , Pascal J. Thomas
• Języki publikacji: EN

Abstrakty

EN

Given A∈ Ωₙ, the n²-dimensional spectral unit ball, we show that if B is an n×n complex matrix, then B is a "generalized" tangent vector at A to an entire curve in Ωₙ if and only if B is in the tangent cone $C_A$ to the isospectral variety at A. In the case of Ω₃, the zero set of the Kobayashi-Royden pseudometric is completely described.

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
• 32F45: Invariant metrics and pseudodistances

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 93
• Numer: 1
• Strony: 53-68

Daty

wydano

2008

Twórcy

autor

Nikolai Nikolov

• Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria

autor

Pascal J. Thomas

• Laboratoire Émile Picard, UMR CNRS 5580, Université Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex, France

Identyfikatory

DOI

10.4064/ap93-1-4