LEADER 03496nam  22007215  450 
001 996466496103316
005 20200630102623.0
010   $a1-280-38432-8
010   $a9786613562241
010   $a3-642-01570-0
024 7 $a10.1007/978-3-642-01570-0
035   $a(CKB)1000000000746033
035   $a(SSID)ssj0000317229
035   $a(PQKBManifestationID)11923525
035   $a(PQKBTitleCode)TC0000317229
035   $a(PQKBWorkID)10287841
035   $a(PQKB)10675395
035   $a(DE-He213)978-3-642-01570-0
035   $a(MiAaPQ)EBC3064255
035   $a(PPN)136301002
035   $a(EXLCZ)991000000000746033
100   $a20100301d2009      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Dirac Spectrum$b[electronic resource] /$fby Nicolas Ginoux
205   $a1st ed. 2009.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009.
215   $a1 online resource (XV, 156 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1976
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-01569-7 
320   $aIncludes bibliographical references and index.
327   $aBasics 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.
330   $aThis volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1976
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aDifferential geometry
606   $aPartial differential equations
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615  0$aDifferential geometry.
615  0$aPartial differential equations.
615 14$aGlobal Analysis and Analysis on Manifolds.
615 24$aDifferential Geometry.
615 24$aPartial Differential Equations.
676   $a530.143
686   $a35P15$a53C27$a58C40$a58J32$a58J50$2msc
686   $aMAT 358f$2stub
686   $aMAT 537f$2stub
686   $aMAT 580f$2stub
686   $aSI 850$2rvk
700   $aGinoux$b Nicolas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0318786
906   $aBOOK
912   $a996466496103316
996   $aDirac spectrum$9230284
997   $aUNISA