Some Notes on $k$-Minimality
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@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} }
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 -
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.
Azam Etemad Dehkordy. (2019). Some Notes on $k$-Minimality.
Journal of Mathematical Study. 52 (1).
53-59.
doi:10.4208/jms.v52n1.19.05
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