TY - JOUR
T1 - Some Notes on $k$-Minimality
AU - Dehkordy , Azam Etemad
JO - Journal of Mathematical Study
VL - 1
SP - 53
EP - 59
PY - 2019
DA - 2019/03
SN - 52
DO - http://doi.org/10.4208/jms.v52n1.19.05
UR - https://global-sci.org/intro/article_detail/jms/13048.html
KW - $k$-minimal, minimal hypersurface, $L_k$−conjecture.
AB - <p style="text-align: justify;">The concept of minimality is generalized in different ways, one of which
is the definition of $k$-minimality. In this paper $k$-minimality is studied for minimal hypersurfaces of a Euclidean space under different conditions on the number of principal
curvatures. We will also give a counterexample to $L_k$-conjecture.</p>