Spectral geometry of harmonic maps into warped product manifolds II. (8th August 2001)

• Record Type: Journal Article
• Authors: Yun, Gabjin
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 27:Number 6(2001)
• Page Start: 327
• Page End: 339
• Publication Date: 2001-08-08
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171201007098
• Languages: English
• ISSNs: 0161-1712

Abstract

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