• Media type: E-Article
  • Title: Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure
  • Contributor: Manev, Hristo; Manev, Mancho
  • imprint: MDPI AG, 2021
  • Published in: Mathematics
  • Language: English
  • DOI: 10.3390/math9141704
  • ISSN: 2227-7390
  • Keywords: General Mathematics ; Engineering (miscellaneous) ; Computer Science (miscellaneous)
  • Origination:
  • Footnote:
  • Description: <jats:p>We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure. The special cases of para-Einstein-like, para-Sasaki-like and having a torse-forming Reeb vector field were considered. It was proved a necessary and sufficient condition for the manifold to admit a para-Ricci-like soliton, which is the structure that is para-Einstein-like. Explicit examples are provided in support of the proven statements.</jats:p>
  • Access State: Open Access