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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.

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2 results for “C^q-topology”

Random 3-Manifolds Have No Totally Geodesic Submanifoldsmath.DG

Random 3-manifolds have no totally geodesic submanifolds.

problem Existence of totally geodesic submanifolds in random 3-manifolds.

method Analysis of metrics on compact 3-manifolds in

C^{q}

-topology.

result The set of such metrics contains an open and dense set in the

C^{q}

-topology for any

q\geq 3

3-manifolds totally geodesic submanifolds open and dense set C^q-topology

2024-04-02abs ↗pdf ↗

Asymptotically Locally Euclidean/Kaluza-Klein Stationary Vacuum Black Holes in 5 Dimensionshep-th

We produce new examples, both explicit and analytical, of bi-axisymmetric stationary vacuum black holes in 5 dimensions. A novel feature of these solutions is that they are asymptotically locally Euclidean in which spatial cross-sections at infinity have lens space $L(p,q)$ topology, or asymptotically Kaluza-Klein so t…

2018-02-07abs ↗pdf ↗