# Eugene V. Petrov

Phd in mathematics, senior lecturer

Link on external publications: arXiv.

## List of selected publications

**A.A. Borisenko**
*Surfaces in the three-dimensional Heisenberg group on which the Gauss map has bounded Jacobian* //
Mathematical Notes,
89 (2011), p. 746-748, 2011

*The Gauss map of submanifolds in the Heisenberg group* //
Differential Geometry and its Applications,
2011, vol. 29, p. 516–532, 2011

Keywords: Heisenberg group, Gauss map, harmonic map, mean curvature field, constant mean curvature hypersurface

*Submanifolds with the harmonic Gauss map in Lie groups* //
Journ. of Math. Phys., An., Geom.,
4 (2008), no. 2, p. 278-293, 2008

Keywords: Left invariant metric, biinvariant metric, Gauss map, harmonic map, $2$-step nilpotent group, totally geodesic submanifold

*The Gauss map of hypersurfaces in 2-step nilpotent Lie groups* //
Journ. of Math. Phys., An., Geom.,
2 (2006), no. 2, p. 186-206, 2006

Keywords: 2-step nilpotent Lie group, Heisenberg group, left invariant metric, Gauss map, harmonic map, minimal submanifold, constant mean curvature