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Invariant holomorphic discs in some non-convex domains


Authors: Florian Bertrand and Hervé Gaussier
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 32F45, 32Q45
DOI: https://doi.org/10.1090/proc/13807
Published electronically: October 6, 2017
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Abstract: We give a description of complex geodesics and we study the structure of stationary discs in some non-convex domains for which complex geodesics are not unique.


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Additional Information

Florian Bertrand
Affiliation: Department of Mathematics, American University of Beirut, Beirut, Lebanon
Email: fb31@aub.edu.lb

Hervé Gaussier
Affiliation: Université Grenoble Alpes, CNRS, IF, F-38000 Grenoble, France
Email: herve.gaussier@univ-grenoble-alpes.fr

DOI: https://doi.org/10.1090/proc/13807
Keywords: Kobayashi metric, extremal disc, complex geodesic, stationary disc
Received by editor(s): April 10, 2017
Received by editor(s) in revised form: May 2, 2017
Published electronically: October 6, 2017
Additional Notes: The research of the two authors was partially supported by the CEDRE Grant 35398TK
Communicated by: Filippo Bracci
Article copyright: © Copyright 2017 American Mathematical Society

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