Name: On pseudo-Einstein real hypersurfaces
Creator: Mayuko Kon
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 53C25, 53B25, 0101 mathematics, 16. Peace & justice, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Sep 2019Embargo end date: 01 Jan 2017 English Publisher:Walter de Gruyter GmbHJournal:Advances in Geometry, volume 20, pages 559-571 (issn: 1615-715X, eissn: 1615-7168,

Authors: Mayuko Kon;

doi: 10.1515/advgeom-2019-0024 , 10.48550/arxiv.1712.07360

arXiv: http://arxiv.org/abs/1712.07360

On pseudo-Einstein real hypersurfaces

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Abstract

Abstract Let M be a real hypersurface of a complex space form Mn (c) with c ≠ 0 and n ≥ 3. We show that the Ricci tensor S of M satisfies S(X, Y) = ag(X, Y) for all vector fields X and Y on the holomorphic distribution, a being a constant, if and only if M is a pseudo-Einstein real hypersurface. By doing this we can give the definition of pseudo-Einstein real hypersurface under weaker conditions.

Related Organizations

Shinshu University
Japan
Shinshu University
Japan

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 53C25, 53B25

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