Almost Ricci solitons and K-contact geometry

作者：Sharma Ramesh^*

来源：Monatshefte fur Mathematik, 2014, 175(4): 621-628.

DOI：10.1007/s00605-014-0657-8

• Almost Ricci soliton
• Conformal vector field
• Constant scalar curvature
• K-Contact metric
• Einstein Sasakian metric

We give a short Lie-derivative theoretic proof of the following recent result of Barros et al. "A compact non-trivial almost Ricci soliton with constant scalar curvature is gradient, and isometric to a Euclidean sphere". Next, we obtain the result: a complete almost Ricci soliton whose metric is -contact and flow vector field is contact, becomes a Ricci soliton with constant scalar curvature. In particular, for strict, becomes compact Sasakian Einstein.

• 出版日期2014-12