# Olena O. Shugailo

Phd in mathematics, senior lecturer

## List of selected publications

**Shugailo O. О.**
*Equiaffine immersions of codimension two with flat connection and one-dimensional Weingarten mapping* //
Matematychni Studii,
2023. – V. 60, №1. – р. 99–112,

Keywords: affine immersion; flat connection; equiaffine structure; Weingarten mapping

**Sakharova Ye., Yampolsky A.**
*Powers of Curvature Operator of Space Forms and Geodesics of the Tangent Bundle * //
Ukr. Math. Journal ,
2004. – V. 56, № 9. – p. 1231-1243,

**Shugailo O. O. **
*On Affine Immersions with Flat Connections* //
Journal of Mathematical Physics, Analysis, Geometry,
2012. – V.8, № 1. – p. 90-105,

**Shugailo O. O.**
*On cylinder representation of affine immersions (russian)* //
Proc. Intern. Geom. Center,
2012. – 5 (3-4). – p. 68-78,

**Shugailo O. O.**
*Affine Submanifolds of Rank Two* //
Journal of Mathematical Physics, Analysis, Geometry,
2013. – V.9, № 2. – p. 227-238,

**Shugailo O. O.**
*Parallel affine immersion ${M}^n\rightarrow {\mathbb{R}}^{n+2}$ with flat connection (russian)* //
Ukr. Math. Journal,
2013. – т. 65, № 9. – p. 1283-1300,

**Shugailo O. O.**
*On affine umbilical immersions of higher codimension (russian)* //
Proc. Intern. Geom. Center ,
2013. – V. 6, № 3. – c. 26-39,

**Shugailo O. O.**
*Affine Curvature of Plane Geodesic Lines on Affine Hypersurfaces (Ukrainian)* //
Ukr. Math. J.,
2017, - V. 69, № 4, - p. 565-574,