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Non-convexity of level sets of k-Hessian equations in convex ring

Connections Workshop: New Frontiers in Curvature & Special Geometric Structures and Analysis August 21, 2024 - August 23, 2024

August 23, 2024 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Ling Xiao (University of Connecticut)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

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In this talk we construct explicit examples that show the sublevel sets of the solution of a k-Hessian equation defined on a convex ring do not have to be convex.

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