TY - JOUR
A2 - Strachan, I.
A2 - Schuller, F. P.
AU - Ingalahalli, Gurupadavva
AU - Bagewadi, C. S.
PY - 2012
DA - 2012/08/08
TI - Ricci Solitons in -Sasakian Manifolds
SP - 421384
VL - 2012
AB - We study Ricci solitons in α-Sasakian manifolds. It is shown that a symmetric parallel second order-covariant tensor in a α-Sasakian manifold is a constant multiple of the metric tensor. Using this, it is shown that if ℒVg+2S is parallel where V is a given vector field, then (g,V,λ) is Ricci soliton. Further, by virtue of this result, Ricci solitons for n-dimensional α-Sasakian manifolds are obtained. Next, Ricci solitons for 3-dimensional α-Sasakian manifolds are discussed with an example.
SN - xxxx-xxxx
UR - https://doi.org/10.5402/2012/421384
DO - 10.5402/2012/421384
JF - ISRN Geometry
PB - International Scholarly Research Network
KW -
ER -