Contents Online
Mathematical Research Letters
Volume 19 (2012)
Number 4
On the structure of gradient Yamabe solitons
Pages: 767 – 774
DOI: https://dx.doi.org/10.4310/MRL.2012.v19.n4.a3
Authors
Abstract
We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we obtain a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons.
2010 Mathematics Subject Classification
53C25, 53C44
Published 27 December 2012