Speaker
Dr
Stefan Suhr
(Department of Mathematics, University of Hamburg)
Description
One way to construct quaternionic Kähler manifolds (target spaces for sigma
models in $N=2$ supersymmetric theories of gravity) is via the supergravity c-map
(Ferrara-Sabharwal'90) from projective special Kähler manifolds and its combination
with the supergravity r-map (deWit-Van Proeyen'92) from projective special real manifolds.
After briefly introducing the structures involved I will discuss conditions for the geodesic
completeness of projective special real and projective special Kähler manifolds.
It is known that geodesic completeness is preserved under both the r-map and
the c-map (Cortés-Han-Mohaupt'12).
I will argue that projective special Kähler manifolds are complete if the condition of "regular boundary behavior" is satisfied (Cortés-Dyckmanns-Suhr'17). Projective real manifolds will be
shown to be complete if they are closed as hypersurfaces in Euclidian space (Cortés-Nardmann-Suhr).
Primary author
Dr
Stefan Suhr
(Department of Mathematics, University of Hamburg)
