In this paper we introduce the notion of Einstein-type structure on a Riemannian manifold.M; g/, unifying various particular cases recently studied in the literature, such as gradient Ricci solitons, Yamabe solitons and quasi-Einstein manifolds. We show that these general structures can be locally classified when the Bach tensor is null.

On the geometry of gradient einstein-type manifolds / G. Catino, P. Mastrolia, D.D. Monticelli, M. Rigoli. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - 286:1(2017), pp. 39-67.

On the geometry of gradient einstein-type manifolds

P. Mastrolia
Secondo
;
M. Rigoli
Ultimo
2017

Abstract

In this paper we introduce the notion of Einstein-type structure on a Riemannian manifold.M; g/, unifying various particular cases recently studied in the literature, such as gradient Ricci solitons, Yamabe solitons and quasi-Einstein manifolds. We show that these general structures can be locally classified when the Bach tensor is null.
Einstein-type manifolds; Ricci solitons; Rigidity results; Mathematics (all)
Settore MAT/03 - Geometria
Settore MAT/05 - Analisi Matematica
2017
http://msp.org/pjm/2017/286-1/pjm-v286-n1-p03-s.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/501760
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