Rodney Josu'e Biezuner

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20192022

most citedGeometric Obstructions on Gravity

3 citations · 4 across the 5 of their papers we have counts for

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math-ph2019★ 3 cited

Geometric Obstructions on Gravity

Yuri Ximenes Martins, Rodney Josué Biezuner

These are notes for a short course and some talks gave at Departament of Mathematics and at Departament of Physics of Federal University of Minas Gerais, based on the author's pape…

math.DG2019

Geometric Regularity Results on $B_{α, β}^{k}$ -Manifolds, I: Affine Connections

Yuri Ximenes Martins, Rodney Josué Biezuner

In this paper we consider existence and multiplicity results concerning affine connections on $C^{k}$ -manifolds $M$ whose coefficients are as regular as one needs, following the re…

math.DG2019

Existence of $B_{α, β}^{k}$ -Structures on $C^{k}$ -Manifolds

Yuri Ximenes Martins, Rodney Josué Biezuner

In this paper we introduce $B_{α, β}^{k}$ -manifolds as generalizations of the notion of smooth manifolds with $G$ -structure or with $k$ -bounded geometry. These are $C^{k}$ -manifolds…

math-ph2019

Graph Reconstruction, Functorial Feynman Rules and Superposition Principles

Yuri Ximenes Martins, Rodney Josué Biezuner

In this article functorial Feynman rules are introduced as large generalizations of physicists Feynman rules, in the sense that they can be applied to arbitrary classes of hypergra…

Geometric Obstructions on Gravity

Geometric Regularity Results on Bα,βk​-Manifolds, I: Affine Connections

Existence of Bα,βk​-Structures on Ck-Manifolds

Graph Reconstruction, Functorial Feynman Rules and Superposition Principles

Geometric Regularity Results on $B_{α, β}^{k}$ -Manifolds, I: Affine Connections

Existence of $B_{α, β}^{k}$ -Structures on $C^{k}$ -Manifolds