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

Stoica Ovidiu Cristinel, Ph.D. student

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.