Valeriy Yumaguzhin

most citedDifferential invariants of 2--order ODEs, I

17 citations · 26 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2008★ 1 cited

On the obstruction to integrability of almost-complex structures

Valeriy A. Yumaguzhin

The natural bundle $π : E \to M$ of almost-complex structures is considered. The action of the pseudogroup of all diffeomorphisms of $M$ on the total space $E$ is investigated. A nont…

math.DG2008★ 17 cited

Differential invariants of 2--order ODEs, I

Valeriy A. Yumaguzhin

In this paper, we investigate the action of pseudogroup of all point transformations on the natural bundle of equations $y^{''} = a^{3} (x, y) (y^{'})^{3} + a^{2} (x, y) (y^{'})^{2} + a^{1} (x, y) y^{'} + a^{0} (x, y)$ . We…

math.DG2008★ 8 cited

On the obstruction to linearizability of 2-order ordinary differential equations

Valeriy A. Yumaguzhin

In this paper, we investigate the action of pseudogroup of all point transformations on the natural bundle of equations $y'' = u^0(x,y) + u^1(x,y)y' + u^2(x,y)(y')^2 + u^3(x,y)(y')…