A note on $$\varphi $$φ-analytic conformal vector fields
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DOI: 10.1007/s13324-017-0190-8
Abstract: Taking clue from the analytic vector fields on a complex manifold, $$\varphi \hbox {-analytic}$$φ-analytic conformal vector fields are defined on a Riemannian manifold (Deshmukh and Al-Solamy in Colloq. Math. 112(1):157–161, 2008). In this paper, we… read more here.
Keywords: vector fields; note varphi; conformal vector; analytic conformal ... See more keywords
The conformal vector fields on conic Kropina manifolds via navigation data
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DOI: 10.1016/j.geomphys.2018.05.008
Abstract: Abstract In this paper, we study the Kropina metrics as singular solutions of the Zermelo’s navigation problem with the navigation data ( h , W ) . We characterize the conformal vector fields on Kropina… read more here.
Keywords: kropina manifolds; navigation data; navigation; vector fields ... See more keywords
A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity
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DOI: 10.1142/s0217732319503206
Abstract: The aim of this paper is to find proper conformal vector fields of some Bianchi type II spacetimes in the f[Formula: see text](R[Formula: see text]) theory of gravity using direct integration technique. In this study, seven… read more here.
Keywords: vector; type spacetimes; theory gravity; bianchi type ... See more keywords
Conformal vector fields and Yamabe solitons
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DOI: 10.1142/s0219887819500531
Abstract: In this paper, we use less topological restrictions and more geometric and analytic conditions to obtain some sufficient conditions on Yamabe solitons such that their metrics are Yamabe metrics, that is, metrics of constant scalar… read more here.
Keywords: vector fields; yamabe solitons; conformal vector; fields yamabe ... See more keywords
A classification of conformal vector fields on the tangent bundle
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DOI: 10.37863/umzh.v72i5.6013
Abstract: UDC 514.7 Let $(M,g)$ be a Riemannian manifold and $TM$ be its tangent bundle equipped with a Riemannian (or pseudo-Riemannian) lift metric derived from $g.$ We give a classification of infinitesimal fibre-preserving conformal transformations on the… read more here.
Keywords: classification; fields tangent; tangent bundle; classification conformal ... See more keywords