@article{article_545755, title={A Characterization of Cylinders and an Estimate for Mean Curvature of Convex Euclidean Hypersurfaces Satisfying a Cylindrical Condition}, journal={International Electronic Journal of Geometry}, volume={12}, pages={57–60}, year={2019}, DOI={10.36890/iejg.545755}, author={Giugiuc, Leonard M. and Suceava, Bogdan D.}, keywords={principal curvatures,mean curvature,scalar curvature,Gauss-Kronecker curvature,smooth hypersurfaces}, abstract={<div> <span style="font-size: 12.6px;">We show that a curvature condition on the Gauss-Kronecker curvature and scalar curvature of a </span> </div> <div> <span style="font-size: 12.6px;">convex smooth hypersurface lying in the four dimensional Euclidean space yields a lower bound </span> </div> <div> <span style="font-size: 12.6px;">for the mean curvature. The curvature condition we investigate is suggested by the local geometry </span> </div> <div> <span style="font-size: 12.6px;">of cylinders in the four dimensional Euclidean space. </span> </div>}, number={1}, publisher={Kazım İlarslan}