On the spectral geometry for the Jacobi operators of harmonic maps into C-manifolds

2006 ◽  
pp. 1893-1903
Author(s):  
Tae Ho Kang ◽  
Hyunsuk Kim ◽  
Tae Wan Kim
Keyword(s):  
Harmonic Maps ◽  
Spectral Geometry ◽  
Jacobi Operators

scholarly journals Spectral geometry of the second variation operator of harmonic maps

1989 ◽  
Vol 33 (2) ◽  
pp. 250-267 ◽  
Author(s):  
Hajime Urakawa
Keyword(s):  
Harmonic Maps ◽  
Spectral Geometry ◽  
Second Variation ◽  
Variation Operator ◽  
The Second Variation

scholarly journals The spectral geometry of harmonic maps into ${\bf H}{\rm P}^n(c)$

1997 ◽  
Vol 20 (1) ◽  
pp. 33-40
Author(s):  
XiaoLi Chao
Keyword(s):  
Harmonic Maps ◽  
Spectral Geometry

scholarly journals Spectral geometry of harmonic maps into warped product manifolds II

2001 ◽  
Vol 27 (6) ◽  
pp. 327-339
Author(s):  
Gabjin Yun
Keyword(s):  
Riemannian Manifold ◽  
Warped Product ◽  
Space Form ◽  
Harmonic Maps ◽  
Harmonic Map ◽  
Jacobi Operator ◽  
Spectral Geometry ◽  
Product Manifold ◽  
Space Forms ◽  
Warped Product Manifold

Let(Mn,g)be a closed Riemannian manifold andNa 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 ifNis a warped product manifold of Euclidean space with a space form andϕ,ψ:M→Nare two projectively harmonic maps, then the energy ofϕandψare equal up to constant ifϕandψare isospectral. Besides, we recover and improve some results by Kang, Ki, and Pak (1997) and Urakawa (1989).

Harmonic Maps, Conservation Laws and Moving Frames

2002 ◽  
Author(s):  
Frédéric Hélein
Keyword(s):  
Conservation Laws ◽  
Harmonic Maps ◽  
Moving Frames

Dirac Operators and Spectral Geometry

1998 ◽  
Author(s):  
Giampiero Esposito
Keyword(s):  
Dirac Operators ◽  
Spectral Geometry

scholarly journals Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains

2021 ◽  
Author(s):  
Antonin Monteil ◽  
Rémy Rodiac ◽  
Jean Van Schaftingen
Keyword(s):  
Compact Manifold ◽  
Harmonic Maps ◽  
Planar Domains

Exponentially harmonic maps carrying potential

2021 ◽  
Vol 27 (1) ◽  
Author(s):  
Yuan-Jen Chiang
Keyword(s):  
Harmonic Maps
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