Harmonic transforms of complete Riemannian manifolds

被引：2

作者：

Stepanov, S. E. ^{[1
]}

Tsyganok, I. I. ^{[1
]}

机构：

[1] Financial Univ Govt Russian Federat, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2016年 / 100卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

polar Riemannian manifold; harmonic transformation; Ricci solitons; vanishing theorems; THEOREMS;

D O I：

10.1134/S0001434616090133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：465 / 471

页数：7

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