92 citations · 408 across the 19 of their papers we have counts for
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math.DG2006
Metric bundles of split signature and type II supergravity
Frederik Witt
We study the geometry of type II supergravity compactifications in terms of an oriented vector bundle , endowed with a bundle metric of split signature and further datum. The ge…
math.DG2006★ 25 cited
Calibrated cycles and T-duality
Florian Gmeiner, Frederik Witt
For Hitchin's generalised geometries we introduce and analyse the concept of a structured submanifold which encapsulates the classical notion of a calibrated submanifold. Under a s…
math.DG2006★ 12 cited
Special metrics and Triality
Frederik Witt
We investigate a new 8-dimensional Riemannian geometry defined by a generic closed and coclosed 3-form with stabiliser PSU(3), and which arises as a critical point of Hitchin's var…