CNCSIS grant PNII - Programme ``Idei'' (code 1187)
January 2009 - December 2011
The research interests of the members of our group cover a wide range of topics. We are interested in Riemannian and conformal geometry, in spin geometry, in complex and quaternionic geometry. Some research topics include: cut loci on Riemannian manifolds, conformal-Killing forms, harmonic spinors, twistor theory of para-quaternionic manifolds, generalized complex geometry.
Dr. Liana David, Scientific Researcher II at Institute of Mathematics "Simion Stoilow" of the Romanian Academy
D. V. Alekseevsky, L. David: Invariant generalized complex structures on Lie groups,, accepted in Proc. London Math,. Soc.
L. David: About the geometry of almost para-quaternionic manifolds, Diff. Geom. Applic. 27 (2009), p. 575-588.
L. David, M. Pontecorvo: A characterization of quaternionic projective space by the conformal-Killing equation, J. London Math. Society (2) 80 (2009), p. 3260-340.
L. David: The fundamental form of almost quaternionic-Hermitian manifolds, J. Geom. Physics (4) 60 (2010), p. 574-580.
L. David: The conformal-Killing equation on G2 and Spin7-structures, J. Geom. Physics (6) vol. 61 (2011), p.1070-1078.
L. David, I. A. B. Strachan: Dubrovin's duality for F-manifolds with eventual identities, Adv. Math. (5) 266 (2011), p. 4031-4060.
L. David: A report on the geometry of Bochner-flat Kahler manifolds, Ann. Univ. Timisoara, 1,2 (2010), p. 147-156.
L. David: A prolongation of the conformal-Killing operator on quaternionic-Kahler manifolds, to appear in Ann. Mat. Pura Applic. (2012), DOI:10.1007/s10231-011-0198-x.
J. Itoh, J. O'Rourke, C. Vilcu: Star Unfolding Convex Polyhedra via Quasigeodesic Loops, Discrete Comput. Geom. 44 (2010), p. 35-54.
J. Itoh, C. Vilcu: Cut locus structures on graphs Discrete Math. (2012), p. 524-531.
A. Moroianu, S. Moroianu: The Dirac operator on generalized Taub-Nut spaces Comm. Math. Physics 305 (2011), p. 641-656.
J. Itoh, C. Vilcu: Orientable cut locus structures on graphs, preprint.
J. Itoh, C. Vilcu: On the number of cut locus structures on graphs, preprint.
J. Itoh, C. Vilcu: Every graph is a cut locus, preprint.