@Article{JMS-52-53, author = {Dehkordy , Azam Etemad}, title = {Some Notes on $k$-Minimality}, journal = {Journal of Mathematical Study}, year = {2019}, volume = {52}, number = {1}, pages = {53--59}, abstract = {

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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n1.19.05}, url = {http://global-sci.org/intro/article_detail/jms/13048.html} }