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Commun. Korean Math. Soc. 2019; 34(3): 863-879
Online first article July 8, 2019 Printed July 31, 2019
https://doi.org/10.4134/CKMS.c180168
Copyright © The Korean Mathematical Society.
Myers' theorem for complete Riemannian hypersurfaces
Seyed Hamed Fatemi
P.O.Box 14115-134
In this paper we study the Myers' theorem for orientable Riemannian hypersurfaces under some restrictions on the mean curvature, the second-order mean curvature, or the divergence of the shape operator and give some estimates for the diameter of such hypersurfaces.
Keywords: hypersurfaces, mean curvature, scalar curvature, divergence of shape operator, second-order mean curvature
MSC numbers: 53A10, 53C40, 53B25
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