03496nam 22007215 450 99646649610331620200630102623.01-280-38432-897866135622413-642-01570-010.1007/978-3-642-01570-0(CKB)1000000000746033(SSID)ssj0000317229(PQKBManifestationID)11923525(PQKBTitleCode)TC0000317229(PQKBWorkID)10287841(PQKB)10675395(DE-He213)978-3-642-01570-0(MiAaPQ)EBC3064255(PPN)136301002(EXLCZ)99100000000074603320100301d2009 u| 0engurnn|008mamaatxtccrThe Dirac Spectrum[electronic resource] /by Nicolas Ginoux1st ed. 2009.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2009.1 online resource (XV, 156 p.) Lecture Notes in Mathematics,0075-8434 ;1976Bibliographic Level Mode of Issuance: Monograph3-642-01569-7 Includes bibliographical references and index.Basics of spin geometry -- Explicit computations of spectra -- Lower eigenvalue estimates on closed manifolds -- Lower eigenvalue estimates on compact manifolds with boundary -- Upper eigenvalue bounds on closed manifolds -- Prescription of eigenvalues on closed manifolds -- The Dirac spectrum on non-compact manifolds -- Other topics related with the Dirac spectrum.This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included.Lecture Notes in Mathematics,0075-8434 ;1976Global analysis (Mathematics)Manifolds (Mathematics)Differential geometryPartial differential equationsGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Global analysis (Mathematics).Manifolds (Mathematics).Differential geometry.Partial differential equations.Global Analysis and Analysis on Manifolds.Differential Geometry.Partial Differential Equations.530.14335P1553C2758C4058J3258J50mscMAT 358fstubMAT 537fstubMAT 580fstubSI 850rvkGinoux Nicolasauthttp://id.loc.gov/vocabulary/relators/aut318786BOOK996466496103316Dirac spectrum230284UNISA