Title	On bodies with congruent sections by cones or non-central planes
Creator	Zhang, Ning
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-23T16:19
Description	Gardner and Golubyatnikov asked whether two continuous functions on the sphere coincide up to reflection in the origin if their restrictions to any great circle coincide after some rotation. In this talk we will discuss two modifications of this problem. Let $K$ and $L$ be convex bodies in $\mathbb R^3$ such that their sections by cones or non-central planes are directly congruent. We will show that if their boundaries are of class $C^2$, then $K$ and $L$ coincide.
Extent	19 minutes
Subject	Mathematics; Convex and discrete geometry; Geometry; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Alberta
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0358026
URI	http://hdl.handle.net/2429/63670
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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