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Geometric and analytic results for Einstein solitons.

  • Published In: Mathematische Nachrichten, 2024, v. 297, n. 8. P. 2855 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Agila, Enrique F. L.; Gomes, José N. V. 3 of 3

Abstract

We compute a lower bound for the scalar curvature of a gradient Einstein soliton under a certain assumption on its potential function. We establish an asymptotic behavior of the potential function on a noncompact gradient shrinking Einstein soliton. As a result, we obtain the finiteness of its fundamental group and its weighted volume. We also prove some geometric and analytic results for constructing gradient Einstein solitons that are realized as warped metrics, and we give a few explicit examples. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematische Nachrichten. 2024/08, Vol. 297, Issue 8, p2855
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2024
  • ISSN:0025-584X
  • DOI:10.1002/mana.202200340
  • Accession Number:178945487
  • 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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