<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

On pseudo-Einstein real hypersurfaces

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 2017Publisher: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

- Summary
- Subjects
- Metrics

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

Keywords

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

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average