Abstract
We prove the following isoperimetric inequality in R2, conjectured by Glazyrin and Moric. Given a convex body S and k pairwise disjoint convex bodies C1,...,Ck that are contained in S, then Σi=1kPer(Ci)≤Per(S)+2(k--1)Diam(S). Here Per(.) denotes the perimeter of a set and Diam(.) is the diameter of a set.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
