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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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6 results for “contactification”

Parabolic conformally symplectic structures III; Invariant differential operators and complexesmath.DG

Study of differential operators in PCS structures using contactifications.

problem Understanding differential operators in PCS structures.

method Use of parabolic contactifications and BGG sequences.

result Construction of families of differential operator complexes.

PCS structures differential operators contactifications BGG sequences symplectic connections

2017-01-05abs ↗pdf ↗

Parabolic conformally symplectic structures II; parabolic contactificationmath.DG

This article connects PCS structures to parabolic contact structures.

problem Connecting PCS structures to parabolic contact structures.

method Developed a parabolic version of contactification to show any PCS-structure can be locally realized.

result Any PCS-structure can be locally realized uniquely up to isomorphism in terms of parabolic contact structures.

PCS structures parabolic contact structures contactification transversal infinitesimal automorphism

2016-05-06abs ↗pdf ↗

A Guide to Applications of

k

-Contact Geometry in Dissipative Field Equationsmath-ph

Develops geometric framework for dissipative field equations.

problem Dissipative field equations and their geometric analysis.

method Canonical

k

-contact manifolds,

k

-contactifications, splitting results, regularity conditions, criteria for PDEs.

result Explicit Hamiltonian descriptions for various nonlinear PDEs.

k-contact geometry dissipative field equations Hamilton--De Donder--Weyl formalism exact symplectic structures nonlinear PDEs

2026-05-13abs ↗pdf ↗

Parabolic quasi-contact cone structures with an infinitesimal symmetrymath.DG

Study variational properties of cone structures with infinitesimal symmetry.

problem Variational properties of cone structures with infinitesimal symmetry.

method Establishing a correspondence between cone structures and geometric structures via symmetry reduction and quasi-contactification.

result Invariant conditions for specific properties of cone structures.

cone structures infinitesimal symmetry variational properties CR geometry quasi-contactification

2023-02-06abs ↗pdf ↗

Invariant Monge-Ampère equations on contactified para-Kähler manifoldsmath.DG

Method finds MAEs on contactified para-Kähler manifolds.

problem Describing invariant Monge-Ampère equations on contactified para-Kähler manifolds.

method Developed a method for invariant Monge-Ampère equations in the sense of V. Lychagin and T. Morimoto on a homogeneous contact manifold.

result Obtained a complete list of mutually non-equivalent MAEs on the contactified para-Kähler manifold.

Monge-Ampère equations contactified para-Kähler manifolds homogeneous contact manifold V. Lychagin T. Morimoto

2024-02-13abs ↗pdf ↗

Exceptional real Lie algebras

\mathfrak{f}_4

and

\mathfrak{e}_6

via contactificationsmath.DG

The paper finds formulas for flat models of certain Lie algebras.

problem Finding formulas for flat models of Lie algebras.

method Solving linear algebraic equations based on Lie algebra representations.

result Formulas for flat models of Lie algebras

\mathfrak{f}_4

and

\mathfrak{e}_6

Lie algebras flat models linear algebraic equations exceptional Lie algebras Cartan's formula

2023-02-27abs ↗pdf ↗