Address

Dr. Paul-Andi Nagy

Institut für Mathematik und Informatik

Walther-Rathenau-Straße 47

D-17487 Greifswald

Ph

+49(0)383486-4634

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Office Hours

Mittwoch, 10-12Uhr

Lehre

SS2010-2011 Analysis II WS2011-2012 Analysis I

Qualifications

DEA de Mathématiques, École Normale Supérieure de Lyon-Université Claude Bernard Lyon I, Sept. 1996

Doctorat de Mathématiques, Université de Savoie, Sept. 2001

Habilitationsschrift der Fachbereichs Mathematik des Universität Hamburg, Jan. 2011

Publications

1. On nearly-Kähler geometry, Annals of Global Analysis and Geometry 22(2002), 167-178.

2. Nearly-Kähler geometry and Riemannian foliations, Asian Journal of Mathematics 6,no.3 (2002), 481-504.

3. Rigidity of Riemannian foliations with complex leaves on Kähler manifolds, Journal of Geometric Analysis 13(2003), no.4, 659-667.

4. The length of harmonic forms on a compact Riemannian manifold (with C.Vernicos), Transactions of the American Mathematical Society 256(2004), no.6, 2501-2513.

5. On the Ricci tensor in the common sector of type II string theory, (with I.Agricola,Th.Friedrich and C.Puhle) Classical and Quantum Gravity 22(2005), no.13, 2569-2577.

6. Unit Killing vector fields on nearly-Kaehler manifolds, (with A.Moroianu and U.Semmelmann), International Journal of Mathematics 16 (2005), no.3, 281-301.

7. On length and product of harmonic forms in Kaehler geometry, Mathematische Zeitschrift 254 (2006), 199-218.

8. On algebraic torsion forms and their spin holonomy algebras, (with N.Bernhardt), Journal of Lie Theory 17 (2007), no.2, 357-377.

9. Spin holonomy algebras of self-dual 4-forms in R⁸, (with N.Bernhardt), Journal of Lie Theory 17 (2007), no.4, 829-856.

10. Four-Dimensional C-spaces, (with A.R.Gover), Quarterly Journal of Mathematics 58 (2007), no.4, 443-462.

11. Deformations of nearly-Kaehler structures, (with A.Moroianu and U.Semmelmann), Pacific Journal of Mathematics 235 (2008), no.1, 57-72.

12. On the cohomology algebra of some classes of geometrically formal manifolds, (with J.-F. Grosjean), Proceedings of the London Mathematical Society (3) 98 (2009), no.3, 607-630.

13. On the uniqueness of almost Kaehler structures, (with A.J.di Scala),C.R.Acad.Sci.Paris, Sér.I. 348 (2010), no.7-8,423-425.

14. Connections with totally skew-symmetric torsion and nearly-Kähler geometry, Handbook of pseudo-Riemannian geometry and supersymmetry, 347-398, IRMA Lect.Math.Theor.Phys., 16, Eur.Math.Soc.,Zürich, 2010.

15. Complex homothetic foliations on Kähler manifolds ( with S.G.Chiossi), Bulletin of the London Mathematical Society 44  (2012), 113-124.

16. A splitting theorem for higher order parallel immersions (with I.Kath), Proceedings of the American Mathematical Society, doi:S0002-9939-2011-11342-X

17. Skew-symmetric prolongations of Lie algebras and applications, Journal of Lie Theory, to appear.

Preprints

18. Systems of symplectic forms on four manifolds (with S.G.Chiossi) accepted by Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.

Interests

Global analysis

Kähler and related geometries