Title	On the spherical projections of convex bodies
Creator	Myroshnychenko, Sergii
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-03-29T14:44
Description	We discuss some properties of spherical projections, and consider the related question regarding their congruency for two convex bodies. In particular, let $P$ and $Q$ be two convex polytopes both contained in the interior of an Euclidean ball $r\textbf{B}^{d}$. We prove that $P=Q$ provided that their spherical projections from any point on the sphere $rS^{d-1}$ are congruent. We also prove an analogous result for a pair of Euclidean balls.
Extent	25 minutes
Subject	Mathematics; Functional analysis; Convex and discrete geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Alberta
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-09-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372157
URI	http://hdl.handle.net/2429/67254
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos