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Visibility domains that are not pseudoconvex

Name: Visibility domains that are not pseudoconvex
Creator: Banik, A
Keywords: 32F45, 32T05 (Primary) 32Q45 (Secondary), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Mathematics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2024Embargo end date: 01 Jan 2023 India Publisher:Elsevier BVJournal:Bulletin des Sciences Mathématiques, volume 193, page 103,452 (issn: 0007-4497,

Authors: Banik, A;

doi: 10.1016/j.bulsci.2024.103452 , 10.48550/arxiv.2312.17614

arXiv: http://arxiv.org/abs/2312.17614

Visibility domains that are not pseudoconvex

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Abstract

The earliest examples of visibility domains, given by Bharali--Zimmer, are pseudoconvex. In fact, all known examples of visibility domains are pseudoconvex. We show that there exist non-pseudoconvex visibility domains. We supplement this proof by a general method to construct a wide range of non-pseudoconvex, hence non-Kobayashi-complete, visibility domains.

7 pages; Section 1 restructured significantly; Theorem 3.1 of v1 now presented as Theorem 1.3 and Theorem 1.4 of v1 now Corollary 1.5. Published in Bul. Sci. Math.; DOI of the published journal article given elsewhere on this page>>

Country

India

Related Organizations

Indian Institute of Science Bangalore
India

Keywords

32F45, 32T05 (Primary) 32Q45 (Secondary), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Mathematics

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