# Eugene V. Petrov

Phd in mathematics, senior lecturer

Link on external publications: ResearchGate.

## List of selected publications

**A.A. Borisenko, E.V. Petrov**
*Surfaces in the Three-Dimensional Heisenberg Group on Which the Gauss Map Has Bounded Jacobian* //
Mathematical Notes,
89 (2011), p. 746-748, 2011

**E.V. Petrov**
*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

**Ye.V. Petrov**
*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

**E.V. Petrov**
*On the Gauss Map of Submanifolds in Lie Groups (in Russian)* //
Dopovidi NANU,
2008, 11, p. 28-31, 2008

**Ye.V. Petrov**
*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

**L.A. Masal'tsev, E.V. Petrov**
*On the Stability of Minimal Surfaces in the 3-Dimensional Heisenberg Group (in Russian)* //
Visnyk KhNU,
645, 2004, p. 135-141, 2004

**L.A. Masal'tsev, E.V. Petrov**
*Minimal Submanifolds in Heisenberg Groups (in Russian)* //
Visnyk KhNU,
602, 2003, p. 35-45, 2003