Zhen Guo

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20112023

most citedClassification of Hypersurfaces with Two Distinct Principal Curvatures and Closed Moebius Form in

S^{m + 1}

17 citations · 18 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.DG2023★ 1 cited

Curvature bounds for the spectrum of closed Einstein spaces and Simon conjecture

ShanLin Guan, Zhen Guo

Let $(M^{n}, g)$ be a closed connected Einstein space, $n = d im M,$ and $κ_{0}$ be the lower bound of the sectional curvature. In this paper, we prove Udo Simon's conjecture: on cl…

math.DG2022

Minimal Norm Tensors Principle and its Applications

Zhen Guo, ShanLin Guan

In this paper we study the minimal norm tensors for general third covariant tensors and fourth covariant tensors, using this we can give a new explanation of Weyl tensor and Cotten…

math.DG2011★ 17 cited

Classification of Hypersurfaces with Two Distinct Principal Curvatures and Closed Moebius Form in $S^{m + 1}$

Limiao Lin, Zhen Guo

Let $x$ be an $m$ -dimensional umbilic-free hypersurface in an $(m + 1)$ -dimensional unit sphere $S^{m + 1} (m \geq 3)$ . One of important questions is to classify hypersurfaces wi…

Curvature bounds for the spectrum of closed Einstein spaces and Simon conjecture

Minimal Norm Tensors Principle and its Applications

Classification of Hypersurfaces with Two Distinct Principal Curvatures and Closed Moebius Form in Sm+1

Classification of Hypersurfaces with Two Distinct Principal Curvatures and Closed Moebius Form in $S^{m + 1}$