TY - JOUR
AU - Poddar, Rahul
AU - Balasubramanian, S.
AU - Sharma, Ramesh
PY - 2023/12/20
Y2 - 2024/02/23
TI - Yamabe solitons in contact geometry
JF - New Zealand Journal of Mathematics
JA - NZ J Math
VL - 54
IS -
SE - Articles
DO - 10.53733/286
UR - https://nzjmath.org/index.php/NZJMATH/article/view/286
SP - 49--55
AB - <p>It is shown that the scalar curvature of a Yamabe soliton as a Sasakian manifold is constant and the soliton vector field is Killing. The same conclusion is shown to hold for a Yamabe soliton as a $K$-contact manifold $M^{2n+1}$ if any one of the following conditions hold: (i) its scalar curvature is constant along the soliton vector field $V$, (ii) $V$ is an eigenvector of the Ricci operator with eigenvalue $2n$, (iii) $V$ is gradient.</p>
ER -