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

共 50 条

[1] Harmonic transforms of complete Riemannian manifolds
S. E. Stepanov
I. I. Tsyganok
[J]. Mathematical Notes, 2016, 100 : 465 - 471
[2] Exponentially harmonic maps of complete Riemannian manifolds
Toshiaki Omori
[J]. manuscripta mathematica, 2020, 161 : 205 - 212
[3] HARMONIC-FUNCTIONS ON COMPLETE RIEMANNIAN MANIFOLDS
YAU, ST
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (02) : 201 - 228
[4] Exponentially harmonic maps of complete Riemannian manifolds
Omori, Toshiaki
[J]. MANUSCRIPTA MATHEMATICA, 2020, 161 (1-2) : 205 - 212
[5] Isometric or harmonic mappings of complete Riemannian manifolds
Bejan, CL
Binh, TQ
Tamássy, L
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2002, 60 (3-4): : 455 - 461
[6] Hermitian harmonic maps from complete Hermitian manifolds to complete Riemannian manifolds
Ni, L
[J]. MATHEMATISCHE ZEITSCHRIFT, 1999, 232 (02) : 331 - 355
[7] Hermitian harmonic maps from complete Hermitian manifolds to complete Riemannian manifolds
Lei Ni
[J]. Mathematische Zeitschrift, 1999, 232 : 331 - 355
[8] Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds
Li, Xiang Dong
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2006, 22 (02) : 591 - 648
[9] HARMONIC AND KILLING FORMS ON COMPLETE RIEMANNIAN-MANIFOLDS
ZHENG, YF
[J]. LECTURE NOTES IN MATHEMATICS, 1987, 1255 : 228 - 243
[10] Rigidity of complete noncompact Riemannian manifolds with harmonic curvature
Ma, Bingqing
Huang, Guangyue
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2018, 124 : 233 - 240

← 1 2 3 4 5 →