Publications related to Ricci curvature

Anomalous and Chern topological waves in hyperbolic networks

Romain Christophe Rémy Fleury, Haoye Qin, Aleksi Antoine Bossart, Zhechen Zhang

Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in non-Euclidean spaces with constant negative curvature. While so far, there has been several theoretical investigations of hyperbolic topological media, experimental ...

2024

Indentation and stability of woven domes

Pedro Miguel Nunes Pereira de Almeida Reis, Célestin Vallat, Tian Chen, Tomohiko Sano, Samuel Jean Bernard Poincloux

Discrete domes are doubly curved structures comprising a network of beam-like elements. We study the mechanics of discrete domes made of ribbons woven in a pentagonal triaxial pattern. Experiments and finite element simulations are performed to characteriz ...

ELSEVIER2023

In-situ atomic level observation of the strain response of graphene lattice

Klaus Kern, Jz -Yuan Juo

Strain is inevitable in two-dimensional (2D) materials, regardless of whether the film is suspended or supported. However, the direct measurement of strain response at the atomic scale is challenging due to the difficulties of maintaining both flexibility ...

NATURE PORTFOLIO2023

Piecewise Affine Curvature model: a reduced-order model for soft robot-environment interaction beyond PCC

Josephine Anna Eleanor Hughes, Francesco Stella, Qinghua Guan

Soft robot are celebrated for their propensity to enable compliant and complex robot-environment interactions. Soft robotic manipulators, or slender continuum structure robots have the potential to exploit these interactions to enable new exploration and m ...

IEEE2023

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Nicolas Boumal, Christopher Arnold Criscitiello

We describe the first gradient methods on Riemannian manifolds to achieve accelerated rates in the non-convex case. Under Lipschitz assumptions on the Riemannian gradient and Hessian of the cost function, these methods find approximate first-order critical ...

SPRINGER2022

Matter matters in Einstein-Cartan gravity

Andrey Shkerin, Georgios Karananas, Sebastian Zell

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only themassless graviton. Eliminating nonpro ...

AMER PHYSICAL SOC2021

Voss surfaces: A design space for geodesic gridshells

Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel

The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...

2021

Computational Design of Weingarten Surfaces

Mark Pauly, Davide Pellis

In this paper we study Weingarten surfaces and explore their potential for fabrication-aware design in freeform architecture. Weingarten surfaces are characterized by a functional relation between their principal curvatures that implicitly defines approxim ...

ASSOC COMPUTING MACHINERY2021

Standard model meets gravity: Electroweak symmetry breaking and inflation

Andrey Shkerin, Sebastian Zell

We propose a model for combining the Standard Model (SM) with gravity. It relies on a nonminimal coupling of the Higgs field to the Ricci scalar and on the Palatini formulation of gravity. Without introducing any new degrees of freedom in addition to those ...

AMER PHYSICAL SOC2021

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Ricci curvature

Anomalous and Chern topological waves in hyperbolic networks

Directed mean curvature flow in noisy environment

Indentation and stability of woven domes

In-situ atomic level observation of the strain response of graphene lattice

Piecewise Affine Curvature model: a reduced-order model for soft robot-environment interaction beyond PCC

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Matter matters in Einstein-Cartan gravity

Voss surfaces: A design space for geodesic gridshells

Computational Design of Weingarten Surfaces

Standard model meets gravity: Electroweak symmetry breaking and inflation

Graph Chatbot

Chat with Graph Search

Anomalous and Chern topological waves in hyperbolic networks

In-situ atomic level observation of the strain response of graphene lattice

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Directed mean curvature flow in noisy environment

Indentation and stability of woven domes

Voss surfaces: A design space for geodesic gridshells

Standard model meets gravity: Electroweak symmetry breaking and inflation

Piecewise Affine Curvature model: a reduced-order model for soft robot-environment interaction beyond PCC

Matter matters in Einstein-Cartan gravity

Computational Design of Weingarten Surfaces