Commun. Korean Math. Soc. 2014; 29(1): 123-130
Printed January 31, 2014
https://doi.org/10.4134/CKMS.2014.29.1.123
Copyright © The Korean Mathematical Society.
Nguyen Dinh Sang and Nguyen Thi Thanh
Nguyen Trai street, Thanh Xuan, No. 12, Tran Phu street, Ngo Quyen district
In this note, we investigate stable minimal hypersurfaces with weighted Poincar\'{e} inequality. We show that we still get the vanishing property without assuming that the hypersurfaces is non-totally geodesic. This generalizes a result in \cite{D-S}.
Keywords: minimal hypersurface, stability, weighted Poincar\'{e} inequality
MSC numbers: Primary 53C42, 58C40
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