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Preprint . 2014
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About an isoperimetric property of $\lambda$-convex lunes on the Lobachevsky plane

descriptionPublicationkeyboard_double_arrow_right Preprint 11 Feb 2014
Authors: Drach, Kostiantyn;

arXiv: 1402.2688

About an isoperimetric property of $\lambda$-convex lunes on the Lobachevsky plane

Abstract

We give a sharp lower bound on the area of a domain that can be enclosed by a closed embedded $\lambda$-convex curve of a given length on the Lobachevsky plane.

Keywords

Mathematics - Differential Geometry, 53C40 (Primary) 49K30, 53C21 (Secondary), Mathematics - Optimization and Control

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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