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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2016 Volume 100, Issue 3, Pages 441–449 (Mi mzm10885)
This article is cited in 4 papers

Harmonic Transforms of Complete Riemannian Manifolds

S. E. Stepanov, I. I. Tsyganok

Financial University under the Government of the Russian Federation, Moscow

Abstract: 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, harmonic transformation, Ricci solitons, vanishing theorems.

UDC: 514.765.25+514.764.216

Received: 30.07.2015
Revised: 14.02.2016

DOI: 10.4213/mzm10885


 English version: Mathematical Notes, 2016, 100:3, 465–471

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© Steklov Math. Inst. of RAS, 2025