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On noncompact warped product Ricci solitons.

  • Published In: Mathematische Nachrichten, 2024, v. 297, n. 8. P. 2828 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Borges, V. 3 of 3

Abstract

The goal of this paper is to investigate complete noncompact warped product gradient Ricci solitons. Nonexistence results, estimates for the warping function and for its gradient are proven. When the soliton is steady or expanding these nonexistence results generalize to a broader context certain estimates and rigidity obtained when studying warped product Einstein manifolds. When the soliton is shrinking, it is presented as a nonexistence theorem with no counterpart in the Einstein case, which is proved using properties of the first eigenvalue of a weighted Laplacian. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematische Nachrichten. 2024/08, Vol. 297, Issue 8, p2828
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2024
  • ISSN:0025-584X
  • DOI:10.1002/mana.202300312
  • Accession Number:178945495
  • Copyright Statement:Copyright of Mathematische Nachrichten is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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