Showing 2001Show all
2 papers · 1 filter
math.DG2001
Systems of conservation laws of Temple class, equations of associativity and linear congruences in projective space
S. I. Agafonov, E. V. Ferapontov
We propose a geometric correspondence between (a) linearly degenerate systems of conservation laws with rectilinear rarefaction curves and (b) congruences of lines in projective sp…
math.DG2001
The analogue of Wilczynski's projective frame in Lie sphere geometry: Lie-applicable surfaces and commuting Schrödinger operators with magnetic fields
E. V. Ferapontov
We propose a twistor construction of surfaces in Lie sphere geometry based on the linear system which copies equations of Wilczynski's projective frame. In the particular case of L…