000 | 02801nam a22004935i 4500 | ||
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001 | 978-3-642-01570-0 | ||
003 | DE-He213 | ||
005 | 20190213151643.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2009 gw | s |||| 0|eng d | ||
020 |
_a9783642015700 _9978-3-642-01570-0 |
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024 | 7 |
_a10.1007/978-3-642-01570-0 _2doi |
|
050 | 4 | _aQA614-614.97 | |
072 | 7 |
_aPBKS _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBKS _2thema |
|
082 | 0 | 4 |
_a514.74 _223 |
100 | 1 |
_aGinoux, Nicolas. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 4 |
_aThe Dirac Spectrum _h[electronic resource] / _cby Nicolas Ginoux. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2009. |
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300 |
_aXV, 156 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1976 |
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505 | 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 | _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 | 0 | _aGlobal analysis. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642015717 |
776 | 0 | 8 |
_iPrinted edition: _z9783642015694 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1976 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-01570-0 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11425 _d11425 |