Spectral geometry for the Jacobi operator of the identity map

Authors

  • Luigi Vergori

DOI:

https://doi.org/10.1285/i15900932v28n1p29

Keywords:

harmonic map, identity map, isospectrality, Jacobi operator

Abstract

Let (M,g) be a compact Riemannian manifold. We denote by JM the Jacobi operator of the identity map which is a second order elliptic differential operator. In this paper we study the following problem: which geometric properties are determined by the spectrum Spec{JM}?

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Published

01-01-2008

Issue

Volume 28, Issue 1 (2008)

Section

Articoli

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