Title: AUSTERE HYPERSURFACES IN 5-SPHERE AND REAL HYPERSURFACES IN COMPLEX PROJECTIVE PLANE
Abstract: Differential Geometry of Submanifolds and its Related Topics, pp. 245-259 (2013) No AccessAUSTERE HYPERSURFACES IN 5-SPHERE AND REAL HYPERSURFACES IN COMPLEX PROJECTIVE PLANEJong Taek CHO and Makoto KIMURAJong Taek CHODepartment of Mathematics, Chonnam National University, Gwangju 500-757, Korea and Makoto KIMURADepartment of Mathematics, Ibaraki University, Bunkyo, Mito 310-8512, Japanhttps://doi.org/10.1142/9789814566285_0021Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: In this paper we study an austere hypersurface M′4 in S5 which is invariant under the action of unit complex numbers S1, i.e., it is the inverse image of a real hypersurface M3 in ℂℙ2. We will give a characterization of a minimal isoparametric hypersurface with 4 distinct principal curvatures in S5. Also we will construct austere hypersurfaces in S5 which are invariant under 1-parameter subgroup of SU(3). They are obtained from Levi-flat real hypersurfaces in ℂℙ2. Dedication: Dedicated to Professor Sadahiro Maeda on his 60th birthdayKeywords: real hypersurfacesaustere submanifoldsspecial Lagrangian submanifolds FiguresReferencesRelatedDetails Differential Geometry of Submanifolds and its Related TopicsMetrics History Keywordsreal hypersurfacesaustere submanifoldsspecial Lagrangian submanifoldsPDF download
Publication Year: 2013
Publication Date: 2013-10-29
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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