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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.

168,657 papers · 148 categories

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0111 · Jan 200219922001200920172026
2 results for “S7”
Trivializable and quaternionic subriemannian structure on S7\mathbb{S}^7 and subelliptic heat kernelmath.DG

Study compares two subriemannian structures on S7, finding non-isometric and non-isospectral properties.

problem Comparing geometric and analytical properties of two subriemannian structures on S7.
method Analyzes the trivializable and quaternionic subriemannian structures, determining measures, sublaplacians, and isometry properties.
result Both subriemannian structures are not locally isometric and non-isospectral.
S7subriemannian structuresClifford modulequaternionic Hopf fibrationsublaplacian
2021-02-09abs ↗pdf ↗
M-theory on manifolds of G2 holonomy: the first twenty yearshep-th

In 1981, covariantly constant spinors were introduced into Kaluza-Klein theory as a way of counting the number of supersymmetries surviving compactification. These are related to the holonomy group of the compactifying manifold. The first non-trivial example was provided in 1982 by D=11 supergravity on the squashed S7,…

2002-01-10abs ↗pdf ↗