16 citations · 16 across the 3 of their papers we have counts for
3 papers
math.DG2019★ 16 cited
Differential geometry in the theory of Hessian operators
N. M. Ivochkina, N. V. Filimonenkova
The paper introduces a new differential-geometric system which originates from the theory of -Hessian operators. The core of this system is a new notion of invariant differentia…
math.AP2016
On the two symmetries in the theory of m-Hessian operators
N. M. Ivochkina, N. V. Filimonenkova
We show that the modern theory of fully nonlinear operators had been started by the skew symmetry of minors in cooperation with the symmetry of symmetric functions. The paper prese…
math.AP2015
On attractors of m-Hessian evolutions
Nina Ivochkina, Nadezda Filimonenkova
We study the asymptotic behavior of C^2-evolutions u = u(x,t) under a given action of the m-Hessian evolution operators and boundary conditions. We obtain sufficient (close to nece…