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Bull. Korean Math. Soc. 2012; 49(2): 285-293
Printed March 1, 2012
https://doi.org/10.4134/BKMS.2012.49.2.285
Copyright © The Korean Mathematical Society.
Hypersurfaces with constant $\boldsymbol{k}$-th mean curvature and two distinct principal curvatures in spheres
Jiancheng Liu and Yan Wei
Northwest Normal University, Northwest Normal University
In this paper, we investigate the hypersurface $M$ in a unit sphere with constant $k$-th mean curvature and two distinct principal curvatures, and characterize such a hypersurface.
Keywords: sphere, hypersurface, $k$-th mean curvature, principal curvatures, Riemannian product space
MSC numbers: Primary 53C20
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