The Skyrme model on Riemannian manifolds

DOI10.1007/BF00420305zbMath0643.58035OpenAlexW1996814596WikidataQ115395001 ScholiaQ115395001MaRDI QIDQ1102017

Michael Loss

Publication date: 1987

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00420305

zbMATH Keywords

compact Riemannian manifolds without boundarystability of local minima

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items

Existence and regularity for generalised harmonic maps associated to a nonlocal polyconvex energy of Skyrme type, On the geometrized Skyrme and Faddeev models, Generalized Skyrme model on higher-dimensional Riemannian manifolds, Generalized Skyrme model on higher-dimensional Riemannian manifolds, The Skyrme model for nucleons under spherical symmetry, ON A MINIMIZING PROPERTY OF THE HOPF SOLITON IN THE FADDEEV–SKYRME MODEL

Cites Work

• A direct variational approach to Skyrme's model for meson fields
• Geometry of Skyrmions
• A non-linear field theory