CHRISTOS-RAENT ONTI
22892624
...
SPECIAL SCIENTIST
Department of Mathematics and Statistics
FST 01 - Faculty of Pure and Applied Sciences, 141
University Campus
Education
- (2018) Ph.D. in Mathematics, Department of Mathematics, University of Ioannina, Greece (advisor: Prof. Theodoros Vlachos).
- (2013) M.Sc. in Mathematics, Department of Mathematics, University of Ioannina, Greece.
- (2010) B.Sc. in Mathematics, Department of Mathematics, University of Ioannina, Greece.
Previous Positions
- (09/2020 - 05/2022) Visiting Lecturer, Department of Mathematics and Statistics, University of Cyprus, Cyprus.
- (2018) Post-doc position, IMPA - Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil.
- Differential Geometry
- Geometry of submanifolds / Isometric immersions
- Interplay between Geometry and Topology of submanifolds.
- Partial Scalar Curvatures and Topological Obstructions for Submanifolds (with K. Polymerakis and Th. Vlachos), preprint [arXiv]
- On Einstein submanifolds of Euclidean space (with M. Dajczer and Th. Vlachos), to appear in Tohoku Mathematical Journal
- The codimension of submanifolds with negative extrinsic curvature (with M. Dajczer and Th. Vlachos), Results Math. vol. 78 (2023), no. 2, Paper No. 42.
- Homology vanishing theorems for pinched submanifolds (with Th. Vlachos), J. Geom. Anal. (2022), vol. 32, Paper No. 294, 33 pages.
- A class of Einstein submanifolds of Euclidean space (with M. Dajczer and Th. Vlachos), J. Geom. Anal. (2022), vol. 32, no. 2, Paper No. 64, 20 pp.
- On constant curvature submanifolds of space forms (with M. Dajczer and Th. Vlachos), Differential Geom. Appl. (2021), vol. 75, Paper No. 101718, 5 pp.
- Isometric immersions with flat normal bundle between space forms (with M. Dajczer and Th. Vlachos), Arch. Math. (Basel) (2021), vol. 116, no. 5, 577--583.
- On complete conformally flat submanifolds with nullity in Euclidean space, Results Math. (2020), vol. 75, no. 3, Paper No. 106, 7 pp.
- Classification of conformally flat isoparametric submanifolds of Euclidean space, Differential Geom. Appl. (2020), vol. 69, 101611, 5 pp.
- Conformally flat submanifolds with flat normal bundle (with M. Dajczer and Th. Vlachos), Manuscripta Math. (2020), vol. 163, no. 3-4, pp. 407--426.
- Topological obstructions for submanifolds in low codimension (with Th. Vlachos), Geom. Dedicata (2018), vol. 196, no. 1, pp. 11--26.
- Einstein submanifolds with flat normal bundle in space forms are holonomic (with M. Dajczer and Th. Vlachos), Proc. Amer. Math. Soc. (2018), vol. 146, no. 9, pp. 4035--4038.
- Einstein submanifolds with parallel mean curvature, Arch. Math. (Basel) (2018), vol. 110, no. 5, pp. 523--531.
- Almost conformally flat hypersurfaces (with Th. Vlachos), Illinois J. Math. (2017), vol. 61, no. 1-2, pp. 37--51.