Curvature and the heat equation for the de Rham complex
type: Item
instance of: scholarly article
title: Curvature and the heat equation for the de Rham complex
zbMATH Open document ID: 0481.58027
DOI: 10.1007/BF02867017
author: Peter B. Gilkey
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 58A12
zbMATH DE Number: 3755538
zbMATH Keywords: compact Riemannian manifold without boundary
zbMATH Keywords: Chern-Gauss-Bonnet theorem
zbMATH Keywords: Euler-Poincare characteristic
zbMATH Keywords: heat equation methods
zbMATH Keywords: Laplacian on p- forms
zbMATH Keywords: covariant derivatives of the curvature tensor
zbMATH Keywords: Euler form
MaRDI profile type: Publication
cites work: On the heat equation and the index theorem
cites work: A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
cites work: Curvature and the eigenvalues of the Laplacian for elliptic complexes
cites work: The spectral geometry of a Riemannian manifold
cites work: Local invariants of a pseudo-Riemannian manifold.
cites work: Q4191331
cites work: Curvature and the eigenvalues of the Laplacian
cites work: Q5647591
cites work: Curvature and the eigenforms of the Laplace operator
cites work: On eigen-values of Laplacian and curvature of Riemannian manifold
cites work: Q4435456
description: scientific article; zbMATH DE number 3755538