On symmetric quadrilaterals the second Neumann eigenfunction switches between symmetry and antisymmetry at critical geometric parameters, with non-vertex critical points fully characterized or absent.
https://polymathprojects.org/2013/08/09/ polymath7- research-thread-5-the-hot-spotsconjecture/
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Critical points of the second Neumann eigenfunctions on the quadrangles with symmetry
On symmetric quadrilaterals the second Neumann eigenfunction switches between symmetry and antisymmetry at critical geometric parameters, with non-vertex critical points fully characterized or absent.