Title of article :
Total mean curvature of positively curved hypersurfaces
Author/Authors :
Chan، نويسنده , , Yingying and Cheung، نويسنده , , Leung-Fu and Leung، نويسنده , , Pui-Fai، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2010
Abstract :
In this article, we prove that every positively curved, complete non-compact hypersurface in R n has infinite total mean curvature.
Keywords :
Mean Curvature , Total mean curvature , Hypersurfaces with positive sectional curvatures , Mean curvature of non-parametric hypersurface , Convex geometry , Mean curvature of implicit hypersurface
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications