An inhomogeneous elliptic complex
type: Item
instance of: scholarly article
title: An inhomogeneous elliptic complex
zbMATH Open document ID: 0804.58051
DOI: 10.1007/BF02788849
author: Neda Bokan
author: Peter B. Gilkey
author: Rade Živaljević
published in: Journal d'Analyse Mathématique
publication date: 1994-03-24T00:00:00Z
review text: Let \(M\) be a compact Riemannian manifold without boundary of dimension \(m \geq 2\). The authors consider an elliptic complex of partial differential operators on \(M\) which contains only 3 terms and which was considered first by \textit{J. Gasqui} [Compos. Math. 47, 43-69 (1982; Zbl 0515.53015)]. A particularity of the complex is that the second term in the complex consists of second order operators. They show that both the index and the equivariant index of the complex vanishes and study the heat equation asymptotics of the complex.
reviewed by: Otto Liess
Mathematics Subject Classification ID: 58J10
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 58J37
zbMATH DE Number: 528681
zbMATH Keywords: elliptic complex
zbMATH Keywords: partial differential operators
zbMATH Keywords: index
zbMATH Keywords: equivariant index
zbMATH Keywords: heat equation
zbMATH Keywords: asymptotics
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 528681