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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.

169,341 papers · 148 categories

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3 results for “Levi-Tanaka”
Totally nondegenerate models and standard manifolds in CR dimension onemath.DG

Totally nondegenerate surfaces in CR dimension one are maximally homogeneous and standard.

problem Understanding the properties of totally nondegenerate surfaces in CR dimension one.
method Analyzing Levi-Tanaka and infinitesimal CR automorphism algebras.
result Totally nondegenerate surfaces in CR dimension one are maximally homogeneous and standard.
CR dimensiontotally nondegeneratemaximally homogeneousstandard surfacesLevi-Tanaka
2016-10-27abs ↗pdf ↗
On the Beloshapka's rigidity conjecture for real submanifolds in complex spacemath.CV

Paper proves Beloshapka's rigidity conjecture for all polynomial models of length 3 or more.

problem Beloshapka's rigidity conjecture for polynomial models of length 3 or more.
method Developed a new method to prove the conjecture for all lengths.
result Proved Beloshapka's rigidity conjecture for all polynomial models of length 3 or more.
rigidity conjecturepolynomial modelsLevi-Tanaka algebrarigid automorphismsnonlinear automorphisms
2018-07-10abs ↗pdf ↗
A characterization of CR quadrics with a symmetry propertymath.CV

We study CR quadrics satisfying a symmetry property (S~)(\tilde S) which is slightly weaker than the symmetry property (S)(S), recently introduced by W. Kaup, which requires the existence of an automorphism reversing the gradation of the Lie algebra of infinitesimal automorphisms of the quadric. We characterize quadrics s…

2010-11-15abs ↗pdf ↗