15 citations · 16 across the 3 of their papers we have counts for
3 papers
math.HO2026
A Note on the Legendre Transformation
Alexey Remizov
We present the Legendre transformation in a geometric way based on the procedure of the Legendrian lift. This approach allows us to understand some interesting properties of it, in…
math.DG2018★ 1 cited
A brief survey on singularities of geodesic flows in smooth signature changing metrics on 2-surfaces
N. G. Pavlova, A. O. Remizov
We present a survey on generic singularities of geodesic flows in smooth signature changing metrics (often called pseudo-Riemannian) in dimension 2. Generically, a pseudo-Riemannia…
math.DG2015★ 15 cited
Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics
A. O. Remizov, F. Tari
We consider a pseudo-Riemannian metric that changes signature along a smooth curve on a surface, called the discriminant curve. The discriminant curve separates the surface locally…