On the existence of nonlinear Dirac-geodesics on compact manifolds

DOI10.1007/s00526-011-0404-0zbMath1235.58010OpenAlexW2029779203MaRDI QIDQ662828

Takeshi Isobe

Publication date: 13 February 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0404-0

zbMATH Keywords

critical point theorycompact manifoldnonlinear Dirac geodesics

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Supersymmetry and quantum mechanics (81Q60) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

A boundary value problem for the nonlinear Dirac equation on compact spin manifold ⋮ Dirac-harmonic maps with potential ⋮ Morse-Floer theory for superquadratic Dirac equations. I: Relative Morse indices and compactness ⋮ Morse homology for asymptotically linear Dirac equations on compact manifolds ⋮ Morse-Floer theory for superquadratic Dirac-geodesics ⋮ Dirac-geodesics and their heat flows ⋮ The evolution equations for regularized Dirac-geodesics ⋮ Asymptotically linear Dirac-harmonic maps into flat tori ⋮ \( \alpha \)-Dirac-harmonic maps from closed surfaces ⋮ On the evolution of regularized Dirac-harmonic maps from closed surfaces ⋮ On the multiple existence of superquadratic Dirac-harmonic maps into flat tori ⋮ Short-time existence of the α-Dirac-harmonic map flow and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The imbedding problem for Riemannian manifolds
• Dirac-harmonic maps
• Critical point theorems for indefinite functionals
• Critical point theory and Hamiltonian systems
• ON GENERIC PROPERTIES OF CLOSED GEODESICS
• Geometry and Physics
• Variational Methods
• Riemannian geometry and geometric analysis