A description of 4D Riemannian geometry via 2-forms valued in an SO(3) bundle from SU(2)-structures, yielding a unique invariant functional with Einstein critical points.
org/10.1142/9789812790613_0023
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H-structures on closed manifolds are homotopy equivalent to their isometric classes via surjective metric map with lifting property, reducing to mapping spaces on parallelizable manifolds like tori, with applications to torsion energy flows.
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Four-dimensional Riemannian geometry via 2-forms
A description of 4D Riemannian geometry via 2-forms valued in an SO(3) bundle from SU(2)-structures, yielding a unique invariant functional with Einstein critical points.
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Topology of isometric classes and flows of geometric structures
H-structures on closed manifolds are homotopy equivalent to their isometric classes via surjective metric map with lifting property, reducing to mapping spaces on parallelizable manifolds like tori, with applications to torsion energy flows.