Uniqueness of L^(1,∞)-Hamiltonians and almost-every-moment Lagrangian disjunction

2006/12/28 by Yong-Geun Oh, Oh, Yong-Geun
Mathematics · #28D10 #53D05 #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DS #math.SG #msc:28D10 #msc:53D05

paper · pdf · doi:10.48550/arxiv.math/0612831

This paper has been withdrawn. Proofs of Lemma 4.4 and Proposition 4.7 have been moved to the revised version of math.SG/0612795

arxiv created 2007/02/02 · arxiv updated 2009/12/01

Abstract

This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the T^*S¹(2)-factor is missing in the right hand side of the equality.) Therefore the uniquenss question for L^(1,∞)-case is still open.

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• Generalized Thomas-Yau Uniqueness Theorems
• The Dirac Conjecture and the Non-uniqueness of Lagrangian
• L^∞-uniqueness of Schrödinger operators restricted in an open domain
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• Uniqueness of Lagrangians in T^*RP2