THE WEINSTEIN CONJECTURE IN PRODUCT OF SYMPLECTIC MANIFOLDS

(整期优先)网络出版时间:2016-05-15
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Inthispaper,usingpseudo-holomorphiccurvemethod,oneprovestheWeinsteinconjectureintheproductP_1×P_2oftwostronglygeometricallyboundedsymplecticmanifoldsundersomeconditionswithP_1.Inparticular,ifNisaclosedmanifoldoranoncompactmanifoldoffinitetopologicaltype,ourresultimpliesthattheWeinsteinconjectureinCP~2×T*Nholds.