On the CR Poincaré–Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds

被引：0

作者：

Der Chen CHANG ^{[1
,2
]}

Shu Cheng CHANG ^{[3
]}

Ying Bo HAN ^{[4
]}

Chien LIN ^{[5
]}

机构：

[1] Department of Mathematics and Statistics, Georgetown University

[2] Graduate Institute of Applied Science and Engineering, Fu Jen Catholic University

[3] Yau Mathematical Sciences Center, Tsinghua University

[4] School of Mathematics and Statistics, Xinyang Normal University

[5] Department of Mathematics, National Tsing Hua

来源：

Acta Mathematica Sinica | 2018年 / 34卷 / 08期

关键词：

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

摘要：

In this paper, we solve the so-called CR Poincaré–Lelong equation by solving the CR Poisson equation on a complete noncompact CR(2n + 1)-manifold with nonegative pseudohermitian bisectional curvature tensors and vanishing torsion which is an odd dimensional counterpart of K?hler geometry. With applications of this solution plus the CR Liouvelle property, we study the structures of complete noncompact Sasakian manifolds and CR Yamabe steady solitons.

引用

页码：1313 / 1344

页数：32

共 42 条

[1] On the CR Poincaré–Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds
Der Chen CHANG
Shu Cheng CHANG
Ying Bo HAN
Chien LIN
Acta Mathematica Sinica,English Series, 2018, 34 (08) : 1313 - 1344
[2] On the CR Poincar,-Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds
Chang, Der Chen
Chang, Shu Cheng
Han, Ying Bo
Lin, Chien
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2018, 34 (08) : 1313 - 1344
[3] On the CR Poincaré–Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds
Der Chen Chang
Shu Cheng Chang
Ying Bo Han
Chien Lin
Acta Mathematica Sinica, English Series, 2018, 34 : 1313 - 1344
[4] YAMABE EQUATION ON SOME COMPLETE NONCOMPACT MANIFOLDS
Wei, Guodong
PACIFIC JOURNAL OF MATHEMATICS, 2019, 302 (02) : 717 - 739
[5] THE YAMABE PROBLEM ON NONCOMPACT CR MANIFOLDS
Ho, Pak Tung
Kim, Seongtag
PACIFIC JOURNAL OF MATHEMATICS, 2016, 285 (02) : 375 - 391
[6] Sasakian Manifolds Admitting *-η-Ricci-Yamabe Solitons
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ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
[7] A COUNTEREXAMPLE TO THE YAMABE PROBLEM FOR COMPLETE NONCOMPACT MANIFOLDS
JIN, ZR
LECTURE NOTES IN MATHEMATICS, 1988, 1306 : 93 - 101
[8] YAMABE AND RIEMANN SOLITONS ON LORENTZIAN PARA-SASAKIAN MANIFOLDS
Chidananda, Shruthi
Venkatesha, Venkatesha
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (01): : 213 - 228
[9] SOME RESULTS ON YAMABE SOLITONS ON NEARLY HYPERBOLIC SASAKIAN MANIFOLDS
Yadav, Sunil Kumar
Siddiqi, Mohd. Danish
Suthar, D. L.
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (02): : 201 - 221
[10] The Yamabe Problem and Applications on Noncompact Complete Riemannian Manifolds
Seongtag Kim
Geometriae Dedicata, 1997, 64 : 373 - 381

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