Radu Pantilie

Position

Senior Researcher II at the INSTITUTE OF MATHEMATICS "SIMION STOILOW"
OF THE ROMANIAN ACADEMY (I.M.A.R.)

Research Interests

Harmonic maps and morphisms, Twistor Theory, Einstein and self-dual manifolds, Weyl spaces,
Quaternionic Geometry, Generalized Complex Geometry

Education

1983 - 1988 Faculty of Mathematics, University of Bucharest, Diploma in Mathematics
1997 - 2000 Department of Pure Mathematics, University of Leeds, PhD

Papers and Preprints

• A simple proof of the de Rham decomposition theorem,
  Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 36(84) (1992), no. 3, 341-343.
• On Yang-Mills connections and Riemannian submersions,
  Stud. Cerc. Mat., 47 (1995), no. 3-4, 333-335.
• Some remarks on harmonic Riemannian submersions,
  Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 40(88) (1997), no. 1, 21-25.
• On the fundamental equations of a Riemannian submersion,
  Rev. Roumaine Math. Pures Appl., 43 (1998), no. 7-8, 779-783.
• Harmonic morphisms with one-dimensional fibres,
  Internat. J. Math., 10 (1999), no. 4, 457-501.
• On submersive harmonic morphisms,
  Harmonic morphisms, harmonic maps, and related topics, 23-29,
  Chapman & Hall/CRC Research Notes in Mathematics, 413, CRC Press U.K., 2000.
• Isometric actions and harmonic morphisms,
  Michigan Math. J., 47 (2000), no. 3, 453-467.
• Conformal actions and harmonic morphisms,
  Math. Proc. Cambridge Philos. Soc., 129 (2000), no. 3, 527-547.
• New results on harmonic morphisms with one-dimensional fibres, (with J. C. Wood),
  Bull. Math. Soc. Sci. Math. Roumanie (N.S.), volume in the memory of G. Vranceanu, 43(93) (2000), no. 3-4, 355-365.
• Submersive harmonic maps and morphisms, (under the supervision of J. C. Wood),
  Ph.D. Thesis, University of Leeds, England, 2000.
• Harmonic morphisms with 1-dimensional fibres on 4-dimensional Einstein manifolds,
  Comm. Anal. Geom., 10 (2002), no. 4, 779-814.
• Harmonic morphisms with one-dimensional fibres on Einstein manifolds, (with J. C. Wood),
  Trans. Amer. Math. Soc., 354 (2002), no. 10, 4229-4243.
• A new construction of Einstein self-dual metrics, (with J. C. Wood),
  Asian. J. Math., 6 (2002), no. 2, 337-348.
• Topological restrictions for circle actions and harmonic morphisms, (with J. C. Wood),
  Manuscripta Math, 110 (2003), no. 3, 351-364.
• Twistorial harmonic morphisms with one-dimensional fibres on self-dual four-manifolds, (with J. C. Wood),
  Q. J. Math., 57 (2006), no. 1, 105-132.
• Harmonic morphisms between Weyl spaces and twistorial maps, (with E. Loubeau),
  Comm. Anal. Geom., 14 (2006), no. 5, 847-881.
• Harmonic morphisms between Weyl spaces,
  Modern trends in geometry and topology, 321-332, Cluj Univ. Press, 2006.
• On a class of twistorial maps,
  Differential Geom. Appl., 26 (2008), no. 4, 366-376.
• Harmonic morphisms with one-dimensional fibres on conformally-flat Riemannian manifolds,
  Math. Proc. Cambridge Philos. Soc., 145 (2008), no. 1, 141-151.
• Harmonic morphisms on heaven spaces, (with P. Baird),
  Bull. London Math. Soc., 41 (2009), no. 2, 198-204.
• On the local structure of generalized Kaehler manifolds, (with L. Ornea),
  Bull. Math. Soc. Sci. Math. Roumanie, 52(100) (2009), no. 3, 347-353.
• Harmonic morphisms between Weyl spaces and twistorial maps II, (with E. Loubeau),
  Ann. Inst. Fourier (Grenoble), (to appear).
• Twistorial maps between quaternionic manifolds, (with S. Ianus, S. Marchiafava, and L. Ornea),
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), (to appear).
• Holomorphic maps between generalized complex manifolds, (with L. Ornea),
  Preprint, IMAR, Bucharest, 2008 (arXiv:0810.1865).
• Twistor Theory for CR quaternionic manifolds and related structures, (with S. Marchiafava, and L. Ornea),
  Preprint, IMAR, Bucharest, 2009 (arXiv:0905.1455).

Books

• Submersive harmonic maps and morphisms,
  Editura Academiei Române, București, 2009.
• Introduction to harmonic morphisms between Weyl spaces and twistorial maps, (with S. Marchiafava),
  (in preparation).

Current Research Project

Twistor Theory for harmonic maps and morphisms between Riemannian symmetric spaces

Contact

Postal Address: I.M.A.R., Bucharest, P.O. Box 1-764, RO-014700, ROMANIA
E-Mail: Radu dot Pantilie at imar dot ro