Heat trace for Laplace type operators with non-scalar symbols

For an elliptic selfadjoint operator P=−[uμν∂μ∂ν+vν∂ν+w] acting on a fiber bundle over a compact Riemannian manifold, where uμν,vμ,w are N×N-matrices, we develop a method to compute the heat-trace coefficients ar which allows to get them by a pure computational machinery. It is exemplified in any ev...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of geometry and physics 2017-06, Vol.116, p.90-118
Hauptverfasser:	Iochum, B., Masson, T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Asymptotic heat trace Classical Analysis and ODEs Functional Analysis Heat kernel Laplace type operator Mathematical Physics Mathematics Nonminimal operator Physics Spectral Theory
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!