Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(2): 331-340

Online first article March 13, 2018      Printed March 30, 2018

https://doi.org/10.4134/BKMS.b160599

Copyright © The Korean Mathematical Society.

Scalar curvature comparisons of level hypersurfaces of geodesic spheres

Jong Ryul Kim

Kunsan National University

Abstract

Using the comparison of differential equations involving Ricci and scalar curvatures obtained by Eschenburg and O'Sullivan, the scalar curvatures of level hypersurfaces of geodesic spheres are compared.

Keywords: $H$-Jacobi tensor, Jacobi equation, mean curvature

MSC numbers: 53C20, 53C50