微分几何中的 Bochner 技术 （英文版）The Bochner tech【正版图书，达额减，电子发票】
ThismonographisadetailedsurveyofanareaofdifferentialgeometrysurroundingtheBochnertechnique.ThisisatechniquethatfallsunderthegeneralheadingofcurvatureandtopologyandreferstoamethodinitiatedbySalomonBochnerinthe940-sforprovingoncompactRiemannianmanifoldsthatcertainobjectsofgeometricinterest(e.g.harmonicforms-harmonicspinorfields-etc.)mustsatisfyadditionaldifferentialequationswhenappropriatecurvatureconditionsareimposed.In953-K.Kodairaappliedthismethodtoprovethevanishingtheoremthatnowbearshisnameforharmonicformswithvaluesinaholomorphicvectorbundle-thiswasthecrucialstepthatallowedhimtoprovehisfamousimbeddingtheorem.Subsequently-theBochnertechniquehasbeenextended-ontheonehand-tospinorfieldsandharmonicmapsand-ontheother-toharmonicfunctionsandharmonicmapsonnoncompactmanifolds.ThelasthasledtotheproofofrigiditypropertiesofcertainKä-hlermanifoldsandlocallysymmetricspaces.Thismonographgivesaself-containedandcoherentaccountofsomeofthesedevelopments-assumingthebasicfactsaboutRiemannianandK&aum
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