Volume 52, Issue 1
Some Notes on $k$-Minimality

Azam Etemad Dehkordy

J. Math. Study, 52 (2019), pp. 53-59.

Published online: 2019-03

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  • 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.

  • AMS Subject Headings

53D12, 53C40, 53C42

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ae110mat@cc.iut.ac.ir (Azam Etemad Dehkordy)

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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.

Dehkordy , Azam Etemad. (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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