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Kragujevac Journal of Mathematics
2017, vol. 41, br. 2, str. 239-250
Classification of torqued vector fields and its applications to Ricci solitons
(naslov ne postoji na srpskom)
Chen Bang-Yen
Michigan State University, Department of Mathematics, Michigan, U.S.A.

e-adresa: bychen@math.msu.edu
Ključne reči: torqued vector field; twisted product; concircular vector field; Riccisoliton; almost quasi-Einstein manifold
Sažetak
(ne postoji na srpskom)
Recently, the author defined torqued vector fields in [Kragujevac J. Math. 41(1) (2017), 93–103]. In this paper, we classify all torqued vector fields on Riemannian manifolds. Moreover, we investigate Ricci solitons with torqued potential fields. In particular, we prove that every Ricci soliton with torqued potential field is an almost quasi-Einstein manifold; and it is an Einstein manifold if and only if the potential field is a concircular vector field. Some related results on Ricci solitons are also obtained.
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O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/KgJMath1702239C
objavljen u SCIndeksu: 08.01.2018.

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