13 citations · 85 across the 25 of their papers we have counts for
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A fundamental differential system of Riemannian geometry
Rui Albuquerque
We discover a fundamental exterior differential system of Riemannian geometry; indeed, an intrinsic and invariant global system of differential forms of degree associated to an…
Curvatures of weighted metrics on tangent sphere bundles
Rui Albuquerque
We determine the curvature equations of natural metrics on tangent bundles and radius r tangent sphere bundles S_rM of a Riemannian manifold M. A family of positive scalar curvatur…
On invariants of almost symplectic connections
Rui Albuquerque, Roger Picken
We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants o…
Variations of gwistor space
Rui Albuquerque
We study natural variations of the G2 structure σ_0 \in Λ^3_+ existing on the unit tangent sphere bundle SM of any oriented Riemannian 4-manifold M. We find a circle of structures…
On the characteristic connection of gwistor space
Rui Albuquerque
We give a brief presentation of gwistor space, which is a new concept from G_2 geometry. Then we compute the characteristic torsion T^c of the gwistor space of an oriented Riemanni…