Ricci solitons on $3$-dimensional cosymplectic manifolds

Year, pages: 2017, 979 - 984

In this paper, we prove that if a $3$-dimensional cosymplectic manifold $M³$ admits a Ricci soliton, then either $M³$ is locally flat or the potential vector field is an infinitesimal contact transformation.

Wang, Y. 2017. Ricci solitons on $3$-dimensional cosymplectic manifolds. In Mathematica Slovaca, vol. 67, no.4, pp. 979-984. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0026

Wang, Y. (2017). Ricci solitons on $3$-dimensional cosymplectic manifolds. Mathematica Slovaca, 67(4), 979-984. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0026