• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Science
      • Department of Mathematics
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Science
      • Department of Mathematics
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      The existence of gradient Yamabe solitons on spacetimes

      Thumbnail
      View / Download
      338.6 Kb
      Author(s)
      Güler, S.
      Ünal, Bülent
      Date
      2022-10
      Source Title
      Results in Mathematics
      Print ISSN
      1422-6383
      Publisher
      Springer
      Volume
      77
      Issue
      5
      Pages
      206-1 - 206-18
      Language
      English
      Type
      Article
      Item Usage Stats
      3
      views
      11
      downloads
      Abstract
      The main aim of the present article is to study generalized quasi-Yamabe gradient solitons on warped product manifolds. First, we obtain some necessary and sufficient conditions for the existence of generalized quasi-Yamabe gradient solitons equipped on a warped product structure. Then we study some important applications in the Lorentzian and the neutral settings for the particular class, called as gradient Yamabe soliton. More explicitly, we prove the existence of the non-trivial gradient Yamabe soliton on generalized Robertson–Walker spacetimes, standard static spacetimes, Walker manifolds and pp-wave spacetimes. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
      Keywords
      Generalized quasi-gradient Yamabe solitons
      Generalized Robertson–Walker spacetimes
      pp-wave spacetimes
      Standard static spacetimes
      Walker manifolds
      Warped product manifolds
      Permalink
      http://hdl.handle.net/11693/111464
      Published Version (Please cite this version)
      https://doi.org/10.1007/s00025-022-01739-9
      Collections
      • Department of Mathematics 712
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCoursesThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCourses

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 2976
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy