A note on compact CR Yamabe solitons

Ho, Pak Tung

doi:10.1016/j.geomphys.2014.11.003

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Cited by 9 publications

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“…[3]). There are many interesting studies for Yamabe soliton and CR Yamabe solitons (see for example Pak Tung Ho's paper [5], [6].) Under certain integrality conditions, L. Ma and V. Miquel gave some conditions for the scalar curvature (cf.…”

Section: Introductionmentioning

confidence: 99%

Complete Yamabe solitons with finite total scalar curvature

Maeta¹

2017

Preprint

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Section: Introductionmentioning

confidence: 99%

Complete Yamabe solitons with finite total scalar curvature

Maeta¹

2017

Preprint

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$$C_0$$-positivity and a classification of closed three-dimensional CR torsion solitons

2020

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A closed CR 3-manifold is said to have C 0 -positive pseudohermitian curvature if (W + C 0 T or)(X, X) > 0 for any 0 = X ∈ T 1,0 (M ). We discover an obstruction for a closed CR 3-manifold to possess C 0 -positive pseudohermitian curvature. We classify closed three-dimensional CR Yamabe solitons according to C 0 -positivity and C 0 -negativity whenever C 0 = 1 and the potential function lies in the kernel of Paneitz operator. Moreover, we show that any closed threedimensional CR torsion soliton must be the standard Sasakian space form. At last, we discuss the persistence of C 0 -positivity along the CR torsion flow starting from a pseudo-Einstein contact form. ∂J ∂t = 2A J,θ , ∂θ ∂t = −2W θ.

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Yamabe solitons with boundary

Shin

2023

Annali di Matematica

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A note on compact CR Yamabe solitons

Abstract: Abstract. In this paper, we show that the Webster scalar curvature of any compact CR Yamabe soliton must be constant.

Cited by 9 publications

References 25 publications

Complete Yamabe solitons with finite total scalar curvature

Complete Yamabe solitons with finite total scalar curvature

$$C_0$$-positivity and a classification of closed three-dimensional CR torsion solitons

Yamabe solitons with boundary

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