Host Institution:

La Trobe University

Title of Seminar:

Completeness in supergravity constructions

Speaker's Name:

Prof. Vicente Cortes

Speaker's Institution:

Hamburg University

Time and Date:

Friday 25 February at 2:00 pm (AEST)

Seminar Abstract:

We prove that the supergravity r- and c-maps preserve completeness. As a consequence, any compoonent H of a hypersurface {h=1} defined by a homogenous cubic polynomial such that -d^2 h is a complete Riemannian metric on H defines a complete projective special Kahler manifold and any complete projective special Kahler manifold defines a complete quaternionic Kahler manifold of negative sccalar curvature.

We classify all complete quaternionic Kahler manifolds of dimension less or equal to 12 which are obtained in this way and describe some complete examples in 16 dimensions.

Seminar Convenor:

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