A sphere theorem for a class of Reinhardt domains with constant Levi curvature

We prove that a bounded Reinhardt domain of ℂ n+1 with C 2 boundary of constant Levi curvature with rotational symmetry in two complementary sets of variables is a ball. 2000 Mathematics Subject Classification: 53A07, 53O42; 35J70, 35B50, 32T99.

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Bibliographic Details
Published inForum mathematicum Vol. 20; no. 4; pp. 571 - 586
Main Authors Hounie, Jorge, Lanconelli, Ermanno
Format Journal Article
LanguageEnglish
Published Berlin Walter de Gruyter 01.07.2008
Walter de Gruyter GmbH
Online AccessGet full text
ISSN0933-7741
1435-5337
DOI10.1515/FORUM.2008.029

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Summary:We prove that a bounded Reinhardt domain of ℂ n+1 with C 2 boundary of constant Levi curvature with rotational symmetry in two complementary sets of variables is a ball. 2000 Mathematics Subject Classification: 53A07, 53O42; 35J70, 35B50, 32T99.
Bibliography:Communicated by Giorgio Talenti
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ArticleID:form.20.4.571
forum.2008.029.pdf
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ISSN:0933-7741
1435-5337
DOI:10.1515/FORUM.2008.029