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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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0111 · Oct 199919922001200920182026
5 results for conformal-projective

The abstract discusses transformations on statistical and semi-Weyl manifolds with torsion.

problem Invariance and structure preservation under conformal-projective transformations.
method Proof of invariance and preservation of structures under conformal-projective transformations.
result Semi-Weyl and statistical structures with torsion are invariant under conformal-projective transformations.

This article is a survey of recent work of the authors developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples are provided by conformal and projective differential geometry: given a smooth manifold M endowed with a flat conformal/projective structure, …

1999-10-19abs ↗pdf ↗

The paper explores conditions for statistical manifolds to be immersed and dual to each other.

problem Conditions for statistical manifold structures to be dual and immersions into statistical manifolds.
method Obtained necessary and sufficient conditions for dual structures and immersion properties.
result Conditions for realizing and realizing in a dually flat statistical manifold of codimension two.

Log-conformal projective pairs restrict to simple geometric structures.

problem Characterizing pairs of projective manifolds with logarithmic conformal tensors.
method Analyzing the nefness and triviality of KX+ΔK_X+Δ to deduce geometric properties.
result Pairs of projective manifolds with logarithmic conformal tensors are restricted to simple geometric structures.