Victor Patty

most citedSpinor representation of Lorentzian surfaces in R^{2,2}

13 citations · 20 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2015★ 5 cited

A generalized Weierstrass representation of Lorentzian surfaces in $R^{2, 2}$ and applications

Victor Patty

We give a generalized Weierstrass formula for a Lorentz surface conformally immersed in the four-dimensional space $R^{2, 2}$ using spinors and Lorentz numbers. We also stu…

math.DG2015★ 2 cited

On Lorentzian surfaces in $R^{2, 2}$

Pierre Bayard, Victor Patty, Federico Sánchez-Bringas

We study the second order invariants of a Lorentzian surface in $R^{2, 2},$ and the curvature hyperbolas associated to its second fundamental form. Besides the four natural…

math.DG2014★ 13 cited

Spinor representation of Lorentzian surfaces in R^{2,2}

Pierre Bayard, Victor Patty

We prove that an isometric immersion of a simply connected Lorentzian surface in $R^{2, 2}$ is equivalent to a normalised spinor field solution of a Dirac equation on the s…

A generalized Weierstrass representation of Lorentzian surfaces in R2,2 and applications

On Lorentzian surfaces in R2,2

Spinor representation of Lorentzian surfaces in R^{2,2}

A generalized Weierstrass representation of Lorentzian surfaces in $R^{2, 2}$ and applications

On Lorentzian surfaces in $R^{2, 2}$