On the type number of a hypersurface in the 6-dimensional sphere-Reference-Cited by-同舟云学术

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On the type number of a hypersurface in the 6-dimensional sphere

Published:2014-10-01 Issue:4 Volume:14 Page:571-578
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Erdoğan Mehmet¹,Pirinççi Beran²,Alo Jeta³,Yilmaz Gülşen⁴

Affiliation:

1. Department of Electrical & Electronics Engineering, Faculty of Engineering, Istanbul Aydin University, Kucukcekmece, Istanbul, Turkey

2. Department of Mathematics, Faculty of Science, Istanbul University, Vezneciler, Istanbul, Turkey

3. Department of Mathematics and Computing, Faculty of Science and Letters, Beykent University, Ayazağa, Istanbul, Turkey

4. Department of Biomedical Engineering, Faculty of Engineering and Architecture, Yeni Yuzyil University, Topkapi, Istanbul, Turkey

Abstract

Abstract We prove that if a hypersurface M with constant scalar curvature in S6 (1) has the sectional curvatures ≤ 1, then the type number of M is not greater than 1.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2013-0038/pdf

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