Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds

  • Bang-Yen ChenEmail author
  • Sharief Deshmukh


In this paper, we initiate the study of Yamabe and quasi-Yamabe solitons on Euclidean submanifolds whose soliton fields are the tangential components of their position vector fields. Several fundamental results of such solitons were proved. In particular, we classify such Yamabe and quasi-Yamabe solitons on Euclidean hypersurfaces.


Yamabe soliton Quasi-Yamabe soliton Euclidean hypersurface Euclidean submanifolds Position vector field Torse-forming vector field 

Mathematics Subject Classification

53C25 53C40 



This work is supported by King Saud University, Deanship of Scientific Research, College of Science Research Center.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA
  2. 2.Department of Mathematics, College of scienceKing Saud UniversityRiyadhSaudi Arabia

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