A New Approach On The Curvature Dependent Energy For Elastic Curves in a Lie Group

DOI10.5831/HMJ.2017.39.4.637zbMath1403.22021OpenAlexW2905930290MaRDI QIDQ4561551

Talat Körpinar, Rıdvan Cem Demirkol

Publication date: 6 December 2018

Full work available at URL: https://www.koreascience.or.kr:443/article/JAKO201707356126615.pdf

zbMATH Keywords

energyLie groupelasticaFrenet vectors

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Curves in Euclidean and related spaces (53A04)

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Cites Work

• Unnamed Item
• Unnamed Item
• New characterizations for minimizing energy of biharmonic particles in Heisenberg spacetime
• A generalization of Lancret's theorem
• Curvatures of left invariant metrics on Lie groups
• Relationship between volume and energy of vector fields.
• Corrected energy of distributions on Riemannian manifolds
• On the energy and pseudoangle of Frenet vector fields in \(\mathbb{R}_\nu^n\)
• A linear framework for region-based image segmentation and inpainting involving curvature penalization
• Regularization of discrete contour by Willmore energy
• The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Environmental bias and elastic curves on surfaces
• Lie Groups and Mechanics: An Introduction
• On the energy of a unit vector field
• On the energy of distributions, with application to the quaternionic Hopf fibrations

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