2000 character limit reached
Constancy of the index for gradient mappings (2506.03906v1)
Published 4 Jun 2025 in math.AP, math.CV, and math.DG
Abstract: We show that if the Hessian of a $C{1,1}$ function has uniformly positive determinant almost everywhere then its index is locally constant, as conjectured by \v{S}ver\'ak in 1992. We deduce this result as a consequence of a more general theorem valid for quasiregular gradient mappings.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
