Dirac-geodesics and their heat flows

DOI10.1007/s00526-015-0877-3zbMath1329.58004OpenAlexW1833619657MaRDI QIDQ889722

Linlin Sun, Qun Chen, Miaomiao Zhu, Juergen Jost

Publication date: 9 November 2015

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

Full work available at URL: https://doi.org/10.1007/s00526-015-0877-3

zbMATH Keywords

heat flowlong-time existenceDirac geodesicsDirac harmonic maps

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Spin and Spin({}^c) geometry (53C27) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (10)

From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory: at the interface of theoretical physics, Riemannian geometry, and nonlinear analysis ⋮ Energy estimates for the supersymmetric nonlinear sigma model and applications ⋮ A global weak solution of the Dirac-harmonic map flow ⋮ Morse-Floer theory for superquadratic Dirac-geodesics ⋮ The evolution equations for regularized Dirac-geodesics ⋮ Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds ⋮ Energy methods for Dirac-type equations in two-dimensional Minkowski space ⋮ Boundary value problems for Dirac-harmonic maps and their heat flows ⋮ On the evolution of regularized Dirac-harmonic maps from closed surfaces ⋮ Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity at the free boundary for Dirac-harmonic maps from surfaces
• Dirac-harmonic maps from index theory
• Closed magnetic geodesics on \(S^2\)
• Embedded constant-curvature curves on convex surfaces
• On the existence of nonlinear Dirac-geodesics on compact manifolds
• Dirac-harmonic maps
• The evolution equations for regularized Dirac-geodesics
• Some explicit constructions of Dirac-harmonic maps
• On the evolution equation for magnetic geodesics
• Closed geodesics on Riemannian manifolds via the heat flow
• Rigidity in the harmonic map heat flow
• The boundary value problem for Dirac-harmonic maps
• Regularity theorems and energy identities for Dirac-harmonic maps
• Closed magnetic geodesics on closed hyperbolic Riemann surfaces
• Existence of good sweepouts on closed manifolds
• Geometry and Physics
• Riemannian geometry and geometric analysis

This page was built for publication: Dirac-geodesics and their heat flows