Closed geodesics on Riemannian manifolds via the heat flow

DOI10.1016/0393-0440(85)90019-1zbMath0592.53039OpenAlexW2052017361WikidataQ115363182 ScholiaQ115363182MaRDI QIDQ1075610

S. K. Ottarsson

Publication date: 1985

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(85)90019-1

zbMATH Keywords

heat equationinitial value problemharmonic mapsclosed geodesictension field

Mathematics Subject Classification ID

Heat equation (35K05) Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items

Blow-up and global existence for heat flows of harmonic maps ⋮ Dirac-geodesics and their heat flows ⋮ The evolution equations for regularized Dirac-geodesics ⋮ Unstable geodesics and topological field theory ⋮ Existence of good sweepouts on closed manifolds

Cites Work

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• Extremal Quasiconformal Mappings with Prescribed Boundary Values
• Harmonic Mappings of Riemannian Manifolds

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