Spectral geometry for the Jacobi operator of the identity map
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}?
DOI Code:
10.1285/i15900932v28n1p29
Keywords:
harmonic map; identity map; isospectrality; Jacobi operator
Classification:
58J50; 58J53; 53C25; 53C45
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