On horospheres and holomorphic endomorfisms of the Siegel disc

zbMath0578.32050MaRDI QIDQ1066324

Giovanni Bassanelli

Publication date: 1983

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1983__70__147_0

zbMATH Keywords

Kobayashi distancehorospheresholomorphic endomorphismSiegel discJulia's lemmastrictly pseudo-convex domains

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Complex Lie groups, group actions on complex spaces (32M05) Pseudoconvex domains (32T99) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items (4)

On holomorphic automorphisms of the unit ball of rectangular, complex matrices ⋮ Horoballs and iteration of holomorphic maps on bounded symmetric domains ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ The Kähler Mean of Block-Toeplitz Matrices with Toeplitz Structured Blocks

Cites Work

• Holomorphic mappings from the ball and polydisc
• On automorphisms of Siegel domains
• The multiplicative structure of 𝐽-contractive matrix functions
• Local boundary regularity of holomorphic mappings
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