Spectral geometry of harmonic maps into warped product manifolds II

Gabjin Yun

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-13

Abstract:

Let ( M n , g ) be a closed Riemannian manifold and N a warped product manifold of two space forms. We investigate geometric properties by the spectra of the Jacobi operator of a harmonic map ϕ : M → N . In particular, we show if N is a warped product manifold of Euclidean space with a space form and ϕ , ψ : M → N are two projectively harmonic maps, then the energy of ϕ and ψ are equal up to constant if ϕ and ψ are isospectral. Besides, we recover and improve some results by Kang, Ki, and Pak (1997) and Urakawa (1989).

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:567146

DOI: 10.1155/S0161171201007098

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