Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls

DOI10.1007/s10231-020-00984-5zbMath1462.32018arXiv1910.05946OpenAlexW3021953947MaRDI QIDQ2662169

Yun Gao, Sui-Chung Ng, Aeryeong Seo

Publication date: 9 April 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05946

zbMATH Keywords

fixed pointsautomorphismsgeneralized ballslinear fractional maps

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Homogeneous complex manifolds (32M10)

Cites Work

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• Cycle spaces of flag domains. A complex geometric viewpoint
• A class of linear fractional maps of the ball and their composition operators
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• Linear fractional composition operators on \(H^ 2\)
• On rational proper mappings among generalized complex balls
• Regularity of CR mappings between algebraic hypersurfaces
• Biholomorphic maps in Hilbert space have a fixed point
• Geometric aspects of potential theory in the symmetric bounded domains. II
• Holomorphic Double Fibration and the Mapping Problems of Classical Domains
• Spectra of linear fractional composition operators onH²(B_N)

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