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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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3 results for “Chen-Nagano”

A Restricted Chen-Nagano Variational Principle for the Einstein-Hilbert Functionalmath.DG

Introduces a restricted Chen-Nagano variational principle for the Einstein-Hilbert functional.

problem Deriving critical metrics for the Einstein-Hilbert functional on compact Riemannian manifolds.

method Restricts the variational problem to an infinite-dimensional subspace.

result Derives a novel structural characterization of critical metrics.

Chen-Nagano Einstein-Hilbert critical metrics Ricci almost soliton gradient Ricci almost soliton

2026-06-09abs ↗pdf ↗

Spectral Properties of the Chen-Nagano Gauge on Einstein Manifoldsmath.DG

New gauge preserves Einstein metrics' interactions, proving rigidity on negatively curved manifolds.

problem Stability and deformation theory of Einstein metrics.

method Introduces Chen-Nagano gauge condition, linking Lichnerowicz Laplacian to shifted scalar operator.

result Chen-Nagano gauge collapses to classical transverse-traceless gauge under spectral pinching assumptions.

Einstein manifolds Chen-Nagano gauge Lichnerowicz Laplacian Ricci flow spectral coupling

2026-05-25abs ↗pdf ↗

Maximal Antipodal Sets and the Topology of Generalised Symmetric Spacesmath.DG

Proves conjectures about maximal antipodal sets in symmetric and generalised symmetric spaces.

problem Cohomological descriptions of maximal antipodal sets in symmetric spaces.

method Equivariant cohomology theory.

result Proves several long-standing conjectures by Chen--Nagano and extends them to generalised symmetric spaces.

maximal antipodal sets symmetric spaces equivariant cohomology finite abelian p-groups

2021-01-05abs ↗pdf ↗