Complete Yamabe solitons with finite total scalar curvature

• Maeta, Shun

抄録

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.

収録刊行物

• Differential Geometry and its Applications

  Differential Geometry and its Applications 66 75-81, 2019-05-27

  Elsevier B.V.

キーワード

• Yamabe solitons
• Yamabe flow
• Total scalar curvature

詳細情報

• CRID: 1050569700703677952
• NII論文ID: 120007038033
• ISSN: 09262245
• DOI: 10.1016/j.difgeo.2019.05.007
• Web Site: http://ir.lib.shimane-u.ac.jp/52586
• Web Site: https://api.elsevier.com/content/article/PII:S0926224519300294?httpAccept=text/xml
• Web Site: https://api.elsevier.com/content/article/PII:S0926224519300294?httpAccept=text/plain
• 本文言語コード: en
• 資料種別: journal article
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