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On the finite spectral triple of an almost-commutative geometry
spectral triple almost-commutative geometry
2010/11/24
In this paper we start to examine the relevance of the signature of the metric of space-time, on the construction of the product of the pseudo-Riemannian spectral triple with a finite triple describin...
Geodesic Flows and Neumann Systems on Stiefel Varieties. Geometry and Integrability
Geodesic Flows Neumann Systems n Stiefel Varieties Geometry and Integrability
2010/11/10
We study integrable geodesic flows on Stiefel varieties $V_{n,r}=SO(n)/SO(n-r)$ given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics. We also consider natural generalizations ...
Convex lattice polytopes and cones with few lattice points inside, from a birational geometry viewpoint
Convex lattice polytopes cones lattice points inside
2010/10/29
It is pretty well-known that toric Fano varieties of dimension k with terminal singularities correspond to convex lattice polytopes P in R^k of positive finite volume, such that intersection of P and...