scholarly journals Morita Invariance for Infinitesimal Deformations

2021 ◽  
Author(s):  
María Julia Redondo ◽  
Lucrecia Román ◽  
Fiorela Rossi Bertone ◽  
Melina Verdecchia
Keyword(s):  
Infinitesimal Deformations

scholarly journals Infinitesimal deformations of Poisson bi-vectors using the Kontsevich graph calculus

2018 ◽  
Vol 965 ◽  
pp. 012010 ◽  
Author(s):  
Ricardo Buring ◽  
Arthemy V Kiselev ◽  
Nina Rutten
Keyword(s):  
Infinitesimal Deformations

scholarly journals Infinitesimal deformations of quotient surface singularities

1988 ◽  
Vol 20 (1) ◽  
pp. 31-66 ◽  
Author(s):  
Kurt Behnke ◽  
Constantin Kahn ◽  
Oswald Riemenschneider
Keyword(s):  
Quotient Surface ◽  
Surface Singularities ◽  
Infinitesimal Deformations

Tensorial Deformation Measures for Flexible Joints

2010 ◽  
Vol 6 (3) ◽  
Author(s):  
Olivier A. Bauchau ◽  
Leihong Li ◽  
Pierangelo Masarati ◽  
Marco Morandini
Keyword(s):  
Finite Deformation ◽  
Nonlinear Behavior ◽  
Critical Issue ◽  
Finite Deformations ◽  
Flexible Joints ◽  
Elastic Bodies ◽  
Infinitesimal Deformations ◽  
Stiffness Characteristics ◽  
Definition Of

Flexible joints, sometimes called bushing elements or force elements, are found in all multibody dynamics codes. In their simplest form, flexible joints simply consist of sets of three linear and three torsional springs placed between two nodes of a multibody system. For infinitesimal deformations, the selection of the lumped spring constants is an easy task, which can be based on a numerical simulation of the joint or on experimental measurements. If the joint undergoes finite deformations, the identification of its stiffness characteristics is not so simple, especially if the joint itself is a complex system. When finite deformations occur, the definition of deformation measures becomes a critical issue. Indeed, for finite deformation, the observed nonlinear behavior of materials is partly due to material characteristics and partly due to kinematics. This paper focuses on the determination of the proper finite deformation measures for elastic bodies of finite dimension. In contrast, classical strain measures, such as the Green–Lagrange or Almansi strains, among many others, characterize finite deformations of infinitesimal elements of a body. It is argued that proper finite deformation measures must be of a tensorial nature, i.e., must present specific invariance characteristics. This requirement is satisfied if and only if the deformation measures are parallel to the eigenvector of the motion tensor.

Infinitesimal Deformations of ECD Fields

2020 ◽  
pp. 147-154
Author(s):  
Daniel Canarutto
Keyword(s):  
Lie Derivative ◽  
Dirac Fields ◽  
Lie Derivatives ◽  
Infinitesimal Deformations ◽  
Standard Notion ◽  
Derivatives Of

The standard notion of Lie derivative is extended in order to include Lie derivatives of spinors, soldering forms, spinor connections and spacetime connections. These extensions are all linked together, and provide a natural framework for discussing infinitesimal deformations of Einstein-Cartan-Dirac fields in the tetrad-affine setting.

scholarly journals Remarks on the self-shrinking Clifford torus

2020 ◽  
Vol 2020 (765) ◽  
pp. 139-170
Author(s):  
Christopher G. Evans ◽  
Jason D. Lotay ◽  
Felix Schulze
Keyword(s):  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
The Self ◽  
The Other ◽  
Local Entropy ◽  
Clifford Torus ◽  
Infinitesimal Deformations ◽  
Rigid Motions ◽  
The One

AbstractOn the one hand, we prove that the Clifford torus in {\mathbb{C}^{2}} is unstable for Lagrangian mean curvature flow under arbitrarily small Hamiltonian perturbations, even though it is Hamiltonian F-stable and locally area minimising under Hamiltonian variations. On the other hand, we show that the Clifford torus is rigid: it is locally unique as a self-shrinker for mean curvature flow, despite having infinitesimal deformations which do not arise from rigid motions. The proofs rely on analysing higher order phenomena: specifically, showing that the Clifford torus is not a local entropy minimiser even under Hamiltonian variations, and demonstrating that infinitesimal deformations which do not generate rigid motions are genuinely obstructed.

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