Научни интереси
- Диференциална геометрия
- Анализ
- Алгебрична топология
Преподавателска дейност
Списък с публикации
- Quaternionic Kähler and hyperkähler manifolds with torsion and twistor spaces, (with S. Ivanov), J. reine angew. Math., 567 (2004), 215-233.
- Twistors of Almost Quaternionic Manifolds, (with S. Ivanov and S.Zamkovoy), math.DG/0511525 (2005)
- The Biquard connection on Riemannian quaternionic contact manifolds, Ann. Sofia Univ., Fac. Math. and Inf., issue:98, 2008, pages:157-170
- Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem (with S.Ivanov and D.Vassilev), JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, issue:12, 2010, pages:1041-1067
- The twistor space of a quaternionic contact manifold (with J.Davidov and S. Ivanov), Quarterly Journal of Mathematics, vol:Vol. 63, issue:No. 4, 2012, pages:873-890
- Twistor and Reflector Spaces of Almost Para-Quaternionic Manifolds, (with S. Ivanov and S.Zamkovoy), Handbook of pseudo-Riemannian geometry and supersymmetry. Papers based on the 77th meeting Encounter between mathematicians and theoretical physicists Strasbourg, France, editor/s:Cortes, Vicente , Publisher:European Mathematical Society. IRMA Lectures in Mathematics and Theoretical Physics, 2010, pages:477-496
- The optimal constant in the L2 Folland-Stein inequality on the quaternionic Heisenberg group, (with S. Ivanova and D. Vassilev) Ann. Sc. Norm. Super. Pisa Cl. Sci., 2012, pages:635-652
- Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem (with S. Ivanova and D. Vassilev), Memoirs of the American Mathematical Society, 2014, ISSN (print):0065-9266
- Quaternionic contact Einstein manifolds (with S. Ivanova and D. Vassilev), Mathematical research Letters, vol:23, issue:5, 2016, pages:1405-1432, ISSN (print):1073-2780
- Quaternionic contact hypersurfaces in hyper-Kähler manifolds (with S. Ivanova and D. Vassilev), ANNALI DI MATEMATICA PURA ED APPLICATA, vol:196, issue:4, 2017, pages:245-267
- On the equivalence of quaternionic contact structures (with Jan Slovak), Annals of Global Analysis and Geometry, vol:53, issue:3, 2018, pages:331-375
- Non-umbilical quaternionic contact hypersurfaces in hyper-Kähler manifolds (with S. Ivanova and D. Vassilev), International Mathematics Research Notices, vol:18, 2019, pages:5649-5673
- On the existence of local quaternionic contact geometries (with Jan Slovak), New York Journal of Mathematics, issue:26, 2020, pages:1093-1129
- Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group, Analysis & PDE (to apper 2022)