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.
Bartnik,The mass of an asymptotically flat manifold, Comm
3 Pith papers cite this work. Polarity classification is still indexing.
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A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
Defines intrinsic Brown-York mass at infinity for hypersurfaces in 4D AF manifolds whose asymptotic expansion recovers ADM mass plus a shape-dependent correction that vanishes for nearly round surfaces under a decay condition.
citing papers explorer
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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.
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Asymptotically Z-stable bundles over projective surfaces
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
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Intrinsic Brown--York Type Mass at Infinity in Four Dimensions
Defines intrinsic Brown-York mass at infinity for hypersurfaces in 4D AF manifolds whose asymptotic expansion recovers ADM mass plus a shape-dependent correction that vanishes for nearly round surfaces under a decay condition.