scholarly journals On the Geometric Mechanics of Assignment Flows for Metric Data Labeling

2021 ◽  
pp. 398-410
Author(s):  
Fabrizio Savarino ◽  
Peter Albers ◽  
Christoph Schnörr
Keyword(s):  
Geometric Mechanics

scholarly journals Constant curvature coefficients and exact solutions in fractional gravity and geometric mechanics

Open Physics ◽  
2011 ◽  
Vol 9 (5) ◽  
Author(s):  
Dumitru Baleanu ◽  
Sergiu Vacaru
Keyword(s):  
Fractional Derivative ◽  
Fractional Derivatives ◽  
Geometric Mechanics ◽  
Fractional Dynamics ◽  
Constant Matrix ◽  
Curve Flows ◽  
Physical Interactions ◽  
Nonholonomic Manifolds ◽  
Lagrange Mechanics ◽  
Fractional Gravity

AbstractWe present a study of fractional configurations in gravity theories and Lagrange mechanics. The approach is based on a Caputo fractional derivative which gives zero for actions on constants. We elaborate fractional geometric models of physical interactions and we formulate a method of nonholonomic deformations to other types of fractional derivatives. The main result of this paper consists of a proof that, for corresponding classes of nonholonomic distributions, a large class of physical theories are modelled as nonholonomic manifolds with constant matrix curvature. This allows us to encode the fractional dynamics of interactions and constraints into the geometry of curve flows and solitonic hierarchies.

scholarly journals On Geometric Mechanics

2007 ◽  
Vol 19 (3) ◽  
pp. 595-607 ◽  
Author(s):  
Jean-Marie Souriau ◽  
Keyword(s):  
Geometric Mechanics

scholarly journals Book review: Geometric mechanics

2009 ◽  
Vol 1 (2) ◽  
pp. 267-270
Author(s):  
Gianne Derks ◽  
Keyword(s):  
Geometric Mechanics

Applied Dynamics and Geometric Mechanics

2011 ◽  
pp. 2217-2282
Author(s):  
Anthony Bloch ◽  
Tudor Ratiu ◽  
Jürgen Scheurle
Keyword(s):  
Geometric Mechanics
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