| File | |
| Title |
Complete Yamabe solitons with finite total scalar curvature
|
| Creator | |
| Source Title |
Differential Geometry and its Applications
|
| Volume | 66 |
| Start Page | 75 |
| End Page | 81 |
| Journal Identifire |
ISSN 0926-2245
|
| Descriptions |
In this paper, we show that steady or shrinking complete gradient Yamabe solitons with finite total scalar curvature and non-positive Ricci curvature are Ricci flat. Moreover, under certain pinching condition for Ricci curvature, we show that steady or shrinking complete gradient Yamabe solitons with finite total scalar curvature and non-positive scalar curvature are Ricci flat.
|
| Subjects | |
| Language |
eng
|
| Resource Type | journal article |
| Publisher |
Elsevier B.V.
|
| Date of Issued | 2019-05-27 |
| Publish Type | Accepted Manuscript |
| Access Rights | open access |
| Relation |
[DOI] 10.1016/j.difgeo.2019.05.007
[URI] https://www.sciencedirect.com/journal/differential-geometry-and-its-applications
|
