Geodesic
Harmonic Transforms of Complete Riemannian Manifolds
Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 441-449

Voir la notice de l'article provenant de la source Math-Net.Ru

Vanishing theorems for harmonic and infinitesimal harmonic transformations of complete Riemannian manifolds are proved. The proof uses well-known Liouville theorems on subharmonic functions on noncompact complete Riemannian manifolds.
Keywords: polar Riemannian manifold, vanishing theorems.
Mots-clés : harmonic transformation, Ricci solitons 
@article{MZM_2016_100_3_a10,
     author = {S. E. Stepanov and I. I. Tsyganok},
     title = {Harmonic {Transforms} of {Complete} {Riemannian} {Manifolds}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {441--449},
     publisher = {mathdoc},
     volume = {100},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_3_a10/}
}
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S. E. Stepanov; I. I. Tsyganok. Harmonic Transforms of Complete Riemannian Manifolds. Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 441-449. http://geodesic.mathdoc.fr/item/MZM_2016_100_3_a10/