Some Notes on $k$-Minimality

Authors

  • Azam Etemad Dehkordy Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran

DOI:

https://doi.org/10.4208/jms.v52n1.19.05

Keywords:

$k$-minimal, minimal hypersurface, $L_k$−conjecture.

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.

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Published

2019-03-06

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Issue

Vol. 52 No. 1 (2019)

Section

Articles

How to Cite

Some Notes on $k$-Minimality. (2019). Journal of Mathematical Study, 52(1), 53-59. https://doi.org/10.4208/jms.v52n1.19.05