publications.html

PUBLICATIONS

With J. Kim and L. Sun:
36. Geodesics on the Kaehler cone of the Heisenberg group.
arXiv:2407.10405v1 [math.GT] 2024.

With Z. Balogh and E. Bubani:
35. Hyperbolicity of the sub-Riemannian affine-additive group.
arXiv:2407.04635v1 [math.DG] 2024.

With J. Kim and L. Sun:
34. PCR Kahler equivalent structures in the Siegel domain.
arXiv:2304.08079v1 [math.DG] 2023.

With Y. Jiang and G.Gou:
33. Bisectors in the Heisenberg group I.
arXiv: 2201.06073 [math.DG] 2022.
Bull. Korean Math. Soc. 2023; 60(1): 225-235

With J. Kim:
32. Equilateral dimension of the Heisenberg group.
arXiv:2111.14476v1 [math.MG] 2021.
Geometriae Dedicata 64, vol. 217, (2023).

With L.Sun:
31. Half plane geometries.
arXiv:2111.07569v2 [math.DG] 2021.

With S. Dragomir:
30. On Nirenberg's non-embeddable CR structure.
omplex Variables and Elliptic Equations, 2021.

29. Quasiconformal mappings in the hyperbolic Heisenberg group and a Lifting Theorem.
arXiv:1909.11955[math.DG] 2019.

Lecture Notes of Seminario Interdisciplinare di Matematica, vol. 15, 2020.

With L.Sun:
28. A K\"ahler structure for the PU(2,1) configuration space of four points in S^3.
arXiv:1906.06658[math.DG] 2019.

Geometriae Dedicata, 2021.

With G.Gou:
27. The modulus of the Kor\'anyi ellipsoidal ring.
arXiv:1807:11653 [math.DG] 2018.

Proc. Amer. Math. Soc. 2019.
DOI: https://doi.org/10.1090/proc/14434

26. The configuration space of equidistant triples in the Heisenberg group.
arXiv:1703.09420 [math.DG] 2017.

25. The PSL(2,R)^2-configuration space of four points in the torus S^1XS^1.
arXiv:1703.05124 [math.DG] 2017.

With N. Sönmez:

24. The Ptolemaean Inequality in the closure of complex hyperbolic plane.
arXiv:1604.00473 [math.MG] 2016.
Turkish Journal of Mathematics (41) 1108-1120, 2017.

23. Quasiconformal mappings on the Heisenberg group: An overview.
arXiv:1510.02369 [math:DG] 2015
Final publication in:
Handbook of Teichmüller Theory Vol. VI, 2016, pp: 375--396. (ed. Athanase Papadopoulos)

22. Modulus of revolution rings in the Heisenberg group.
arXiv:1504:05099 [math:MG] 2015.
Final publication in:
Proc. Amer. Math. Soc. (144) 3975-3990, 2016.

With Z.M. Balogh and K. Faessler:
21. Uniqueness of minimisers for a Grötzsch-Belinskii type inequality in the Heisenberg group. pdf
Final publication in:
Conformal Geometry and Dynamics, (19), 122-145, 2015.

With V. Schroeder:
20. Möbius rigidity of invariant metrics in boundaries of symmetric spaces of rank 1.
arXiv:1406.6770 [math.MG] 2014.
Final publication in:
Monatshefte für Mathematik, (183, 2), 357-373, 2017.

19. Pseudoconformal structures and the example of Falbel's cross--ratio variety.
arXiv:1401.7504v1 [math.DG] 2014.
Final publication in:
Geometriae Dedicata Volume (181), Issue 1, 257-292, 2016, as:
Paired CR structures and the example of Falbel's cross-ratio variety.

18. Modulus of surface families and the radial stretch in the Heisenberg group.
arXiv:1310.4292 v2 [math.CV] 2013.
Final publication in:
Mathematical Proceedings of the Cambridge Philosophical Society, 2016

17. Straight ruled surfaces in the Heisenberg group.

arXiv:1212:5834 [math.DG] 2013.
Final publication in:
Journal of Geometry, (105), Issue 1, 119-138, 2014.

16. Cross--ratios and the Ptolemaean inequality in boundaries of symmetric spaces of rank 1.

arXiv:1208:5171v2 [math.DG] 2012.
Final publication in:
Geometriae Dedicata, (169), 187-208, 2014.

With Z.M. Balogh and K. Faessler:
15. Modulus method and radial stretch map in the Heisenberg group. pdf
Annales Academiae Scientiarum Fennnicae (38), 149-180, 2013.

14. Complex cross--ratios and the Ptolemaean inequality.

arXiv:1207.5114v1 [math.DG] 2012.