number of downloads : ?
ID 52586
File
language
eng
Author
Description
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.
Subject
Yamabe solitons
Yamabe flow
Total scalar curvature
Journal Title
Differential Geometry and its Applications
Volume
66
Start Page
75
End Page
81
ISSN
0926-2245
Published Date
2019-05-27
DOI
Publisher
Elsevier B.V.
NII Type
Journal Article
Format
PDF
Relation
Text Version
著者版
Gyoseki ID
e37167
OAI-PMH Set
Faculty of Science and Engineering