Hamiltonian mean curvature flow

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AuteurHOUENOU, DJIDEME FRANCK
AuteurTODJIHOUNDE, LEONARD
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2013
ResumeLet (Σ, ω) be a compact Riemann surface with constant curvature c. In this work, we proved that the mean curvature flow of a given Hamiltonian diffeomorphism on Σ provides a smooth path in Ham(Σ), the group of all Hamiltonian diffeomorphisms of Σ. This result gives a proof, in the case of graph of Hamiltonian diffeomorphisms to the conjecture of Thomas and Yau asserting that the mean curvature flow of a compact embedded Lagrangian submanifold S with zero Maslov class in a Calabi-Yau manifolds M exists for all time and converges smoothly to a special Lagrangian submanifold in the Hamiltonian isotopy class of S
DOI10.12988/ijcms.2013.13051
Autre identifiantBECDB-4308
URIhttps://dspace.uac.bj/handle/123456789/4100
Languefr
SujetGeometric evolution equations
Sujethamiltonian diffeomorphism
SujetLagrangian submanifold
Sujetmaslov index
TitreHamiltonian mean curvature flow
TypeArticle

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