Spektraleigenschaften des Dirac-Operators - die Fundamentallösung seiner Wärmeleitungsgleichung und die Asymptotenentwicklung der Zeta-Funktion

DOI10.4310/jdg/1214435379zbMath0442.58030OpenAlexW1595952522WikidataQ115188971 ScholiaQ115188971MaRDI QIDQ1143698

Helga Dlubek, Thomas Friedrich

Publication date: 1980

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214435379

zbMATH Keywords

heat equationEuler characteristicsignaturearithmetic genusasymptotic expansion of the zeta function of the Dirac operatoreigenvalues of the Dirac-operator on a Riemannian manifold with spin-structurespinor-bundle

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Algebraic topology of manifolds (57N65)

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