Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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 R3 such that their sections by cones or non-central planes are directly congruent. We will show that if their boundaries are of class C2, then K and L coincide.
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