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Home » GFA Young Researchers Seminar: On bodies with congruent sections by cones or non-central planes

Seminar

GFA Young Researchers Seminar: On bodies with congruent sections by cones or non-central planes October 04, 2017 (11:15 AM PDT - 12:30 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Ning Zhang (MSRI - Mathematical Sciences Research Institute)
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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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