On the construction of gradient Ricci soliton warped product

In this paper we show that an expanding or steady gradient Ricci soliton warped product Bn×fFm, m>1, whose warping function f reaches both maximum and minimum must be a Riemannian product. Moreover, we present a necessary and sufficient condition for constructing a gradient Ricci soliton warped p...

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Veröffentlicht in:	Nonlinear analysis 2017-09, Vol.161, p.30-43
Hauptverfasser:	Feitosa, F.E.S., Freitas Filho, A.A., Gomes, J.N.V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Curvature Mathematical analysis Nonlinear equations Obstructions Ricci soliton Rigidity results Scalar curvature Warped product
Online-Zugang:	Volltext
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