Fengjiang Li

activity

20192026

most citedVacuum Static Spaces with Harmonic Curvature

2 citations · 2 across the 10 of their papers we have counts for

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11 papers · 1 filter

math.DG2026

An improved result on Chern conjecture

Qing-Ming Cheng, Fengjiang Li, Guoxin Wei +1

Let $X : M^{n} \to S^{n + 1} (1)$ be a closed minimal hypersurface with constant scalar curvature. Chern conjecture says that a closed minimal hypersurface with constant scalar cu…

math.DG2026

Rigidity of shrinking gradient ricci soliton with constant scalar curvature

Fengjiang Li, Yuanyuan Qu, Guoqiang Wu

Let $(M^{n}, g, f)$ be a complete shrinking gradient Ricci soliton with constant scalar curvature. Under the assumptions that (i) $R i c \geq \frac{\nabla _{\nabla f} R i c}{f}$ on $M\setm…

math.DG2026

Estimates on scalar curvature of self-shrinkers

Qing-Ming Cheng, Fengjiang Li, Guoxin Wei

In this paper, we study $n$ -dimensional complete self-shrinkers in $R^{n + 1}$ with constant squared norm $S$ of the second fundamental form. We partially resolve the conject…

math.DG2025

Quasi-Einstein manifolds with Harmonic Weyl curvature

Huai-Dong Cao, Fengjiang Li, James Siene

In this paper, we classify $n$ -dimensional ( $n \geq 5$ ) quasi-Einstein manifolds with harmonic Weyl curvature, thus extending the work of Shin \cite{Shin} in dimension four for quas…

math.DG2025

Rigidity of Five-Dimensional shrinking gradient Ricci solitons

Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1

Suppose $(M, g, f)$ is a 5-dimensional complete shrinking gradient Ricci soliton with $R = 1$ . If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\tim…

math.DG2025

Transverse Rigidity of Shrinking Sasaki-Ricci Solitons

Shu-Cheng Chang, Fengjiang Li, Chien Lin +1

In this paper, we study several properties of Sasaki-Ricci solitons as singularity models of the Sasaki-Ricci flow. First, we establish several fundamental equations for Sasaki-Ric…

math.DG2024

Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature

Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1

Let $(M, g, f)$ be a $5$ -dimensional complete noncompact gradient shrinking Ricci soliton with the equation $R i c + \nabla^{2} f = λ g$ , where $Ric$ is the Ricci tensor and $\nabla^…

math.DG2024

On the existence of conic Sasaki-Einstein metrics on log Fano Sasakian manifolds of dimension five

Shu-Cheng Chang, Fengjiang Li, Chien Lin +1

In this paper, we derive the uniform L^{4}-bound of the transverse conic Ricci curvature along the conic Sasaki-Ricci flow on a compact transverse log Fano Sasakian manifold M of d…

math.DG2021★ 2 cited

Vacuum Static Spaces with Harmonic Curvature

Fengjiang Li

In this paper, we classify $n$ -dimensional ( $n \geq 5$ ) vacuum static spaces with harmonic curvature, thus extending the $4$ -dimensional work by Kim-Shin \cite{KS}. As a consequence…

math.DG2021

Rigidity of Complete Gradient Steady Ricci Solitons with Harmonic Weyl Curvature

Fengjiang Li

Our main aim in this paper is to investigate the rigidity of complete noncompact gradient steady Ricci solitons with harmonic Weyl tensor. More precisely, we prove that an $n$ -dime…

math.DG2019

Monotonicity of functionals along conformal Ricci flow

Fengjiang Li, Peng Lu, Jianhong Wang +1

The main purpose of this note is to construct two functionals of the positive solutions to the conjugate heat equation associated to the metrics evolving by the conformal Ricci flo…