Year: 2019
Author: Azam Etemad Dehkordy
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n1.19.05
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 53–59
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: $k$-minimal minimal hypersurface $L_k$−conjecture.