Thesis supervisor: Balázs Csikós
Location of studies (in Hungarian): Department of Geometry Abbreviation of location of studies: ELTE
Description of the research topic:
Harmonic manifolds were introduced by E.T. Copson and H.S. Ruse in 1940. For a long time the only known examples of harmonic manifolds had been the 2-point homogeneous symmetric spaces, and Lichnerowicz conjectured that there are no other examples at all. Though the Lichnerowicz conjecture was proved by Z.I. Szabó for compact simply connected manifolds, E. Damek and F. Ricci found examples of non-compact harmonic spaces that are not symmetric. The aim of the research is to study geometrical properties of harmonic spaces with the final goal to obtain a classification of them: either to show that there are no harmonic spaces other than the ones mentioned above, or to find further examples.
Required language skills: english (at least B2 level) Further requirements: solid knowledge of differential geometry (calculus on smooth manifolds) and Riemannian geometry
Number of students who can be accepted: 1
Deadline for application: 2017-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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