000 02523nam a22004575i 4500
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008 100301s2009 gw | s |||| 0|eng d
020 6 4 _a9783642015700
_9978-3-642-01570-0
024 8 7 _a10.1007/978-3-642-01570-0
_2doi
100 8 1 _aGinoux, Nicolas.
_eauthor.
_9150298
245 _aThe Dirac Spectrum
_h[electronic resource] /
_cby Nicolas Ginoux.
001 000066345
300 6 4 _bonline resource.
490 8 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1976
505 8 0 _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.
520 6 4 _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.
650 8 0 _aMathematics.
_98571
650 8 0 _aGlobal analysis.
_917903
650 8 0 _aDifferential equations, partial.
_99614
650 8 0 _aGlobal differential geometry.
_99530
650 _aMathematics.
_98571
650 _aPartial Differential Equations.
_99616
650 _aDifferential Geometry.
_99532
650 _aGlobal Analysis and Analysis on Manifolds.
_917904
710 8 2 _aSpringerLink (Online service)
_9150299
773 8 0 _tSpringer eBooks
776 _iPrinted edition:
_z9783642015694
830 8 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1976
_9150300
856 _uhttp://dx.doi.org/10.1007/978-3-642-01570-0
_zde clik aquí para ver el libro electrónico
264 8 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
336 6 4 _atext
_btxt
_2rdacontent
337 6 4 _acomputer
_bc
_2rdamedia
338 6 4 _aonline resource
_bcr
_2rdacarrier
347 6 4 _atext file
_bPDF
_2rda
516 6 4 _aZDB-2-SMA
516 6 4 _aZDB-2-LNM
999 _c66075
_d66075
942 _c05