On Complete Gradient Steady Ricci Solitons with Vanishing D-tensor
, 2021 In this paper, we extend the work of Cao-Chen [9] on Bach-flat gradient Ricci solitons to classify $n$-dimensional ($n\ge 5$) complete $D$-flat gradient steady Ricci solitons. More precisely, we prove that any $n$-dimensional complete noncompact gradient
Cao, Huai-Dong, Yu, Jiangtao
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A Note on LP-Kenmotsu Manifolds Admitting Conformal Ricci-Yamabe Solitons [PDF]
, 2023 In the current note, we study Lorentzian para-Kenmotsu (in brief, LP-Kenmotsu) manifolds admitting conformal Ricci-Yamabe solitons (CRYS) and gradient conformal Ricci-Yamabe soliton (gradient CRYS).
Gazala +2 more
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On the dynamical behaviour of the generalized Ricci flow
, 2020 Motivated by M\"uller-Haslhofer results on the dynamical stability and instability of Ricci-flat metrics under the Ricci flow, we obtain dynamical stability and instability results for pairs of Ricci-flat metrics and vanishing 3-forms under the ...
Raffero, Alberto, Vezzoni, Luigi
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Analysis, Geometry and Topology of Positive Scalar Curvature Metrics (hybrid meeting) [PDF]
, 2021 The investigation of Riemannian metrics with lower scalar curvature bounds has been a central topic in differential geometry for decades. It addresses foundational problems, combining ideas and methods from global analysis, geometric topology, metric ...
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Ricci flow of $W^{2,2}$-metrics in four dimensions [PDF]
, 2023 In this paper we construct solutions to Ricci–DeTurck flow in four dimensions on closed manifolds which are instantaneously smooth but whose initial values g are (possibly) non-smooth Riemannian metrics whose components in smooth coordinates belong to $W^
Lamm, Tobias, Simon, Miles
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GENERALIZED η-RICCI SOLITONS ON TRANS-SASAKIAN MANIFOLDS ASSOCIATED TO THE SCHOUTEN-VAN KAMPEN CONNECTION [PDF]
In this paper, we study generalized η-Ricci solitons with respect to the Schouten-van Kampen connection on trans-Sasakian manifolds. We give an example of generalized η-Ricci solitons on a trans-Sasakian manifold with respect to the Schouten-van Kampen ...
Azami, Shahroud
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RICCI SOLITONS AND RICCI BI-CONFORMAL VECTOR FIELDS ON THE MODEL SPACE $Sol^{4}_{0}$ [PDF]
In this paper, we classify the Ricci solitons and the Ricci bi-conformal vector fields on model space $Sol^{4}_{0}$.
Azami, Shahroud, Sohrabpour, Mahin
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Open manifolds with uniformly positive isotropic curvature
, 2023 We prove the following result: Let $(M,g_0)$ be a complete noncompact manifold of dimension $n\geq 12$ with isotropic curvature bounded below by a positive constant, with scalar curvature bounded above, and with injectivity radius bounded below.
Huang, Hong
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International Congress of Mathematicians: 2022 July 6–14: Proceedings of the ICM 2022 [PDF]
, 2023 Following the long and illustrious tradition of the International Congress of Mathematicians, these proceedings include contributions based on the invited talks that were presented at the Congress in 2022. Published with the support of the International
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Generalized parabolic frequency on compact manifolds
, 2023 In this paper, we first prove monotonicity of a generalized para bolic frequency on weighted closed Riemannian manifolds for some linear heat equation.
Abolarinwa, Abimbola, Azami, Shahroud
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