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Laiyuan Gao

Observed names: Gao Laiyuan, Gao, Laiyuan, L. Zhiyong Gao
ORCID: 0000-0002-0563-9896
Observed ORCID: 0000-0002-0563-9896
OpenAlex ID: A5079061905
The existence of negatively Ricci curved metrics on three manifolds
1986 · L. Zhiyong Gao, S. T. Yau · Inventiones mathematicae · 62
Convergence of Riemannian manifolds; Ricci and $L\sp {n/2}$-curvature pinching
1990 · L. Zhiyong Gao · Journal of Differential Geometry · 29
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On an area-preserving inverse curvature flow of convex closed plane curves
2021 · Laiyuan Gao, Shengliang Pan, et al. · Journal of Functional Analysis · 24
On a length-preserving inverse curvature flow of convex closed plane curves
2020 · Laiyuan Gao, Shengliang Pan, et al. · Journal of Differential Equations · 20
On Yau's problem of evolving one curve to another: Convex case
2018 · Laiyuan Gao, Yuntao Zhang · Journal of Differential Equations · 20
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The construction of negatively Ricci curved manifolds
1985 · L. Zhiyong Gao · Mathematische Annalen · 18
$L\sp {n/2}$-curvature pinching
1990 · L. Zhiyong Gao · Journal of Differential Geometry · 11
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Evolving convex curves to constant-width ones by a perimeter-preserving flow
2014 · Laiyuan Gao, Shengliang Pan · Pacific Journal of Mathematics · 9
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An extension of Rabinowitz’s polynomial representation for convex curves
2020 · Laiyuan Gao, Zhongyun Zhang, et al. · Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry · 7
Nonlocal Flow Driven by the Radius of Curvature with Fixed Curvature Integral
2019 · Laiyuan Gao, Shengliang Pan, et al. · Journal of Geometric Analysis · 6
Gage’s original normalized CSF can also yield the Grayson theorem
2016 · Laiyuan Gao, Shengliang Pan · Asian Journal of Mathematics · 6
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Star-shaped Centrosymmetric Curves Under Gage’s Area-preserving Flow
2023 · Laiyuan Gao, Shengliang Pan · Journal of Geometric Analysis · 5
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Whitney–Graustein homotopy of locally convex curves via a curvature flow
2023 · Laiyuan Gao · Mathematical Research Letters · 4
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Evolving convex surfaces to constant width ones
2017 · Laiyuan Gao, Yuntao Zhang · International Journal of Mathematics · 4
Evolving an immersed star-shaped curve to another one with same winding number
2025 · Laiyuan Gao, Zheqi Wang · Journal of Differential Equations · 2
Deforming convex curves with fixed elastic energy
2015 · Laiyuan Gao, Yiling Wang · Journal of Mathematical Analysis and Applications · 2
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Evolving Compact Locally Convex Curves and Convex Hypersurfaces
2021 · Laiyuan Gao, Yuntao Zhang · manuscripta mathematica · 1
A $\operatorname{log}$-type non-local flow of convex curves
2021 · Laiyuan Gao, Shengliang Pan, et al. · Communications in Analysis and Geometry · 1
On a Third Order Flow of Convex Closed Plane Curves
2016 · Laiyuan Gao, Dong-Ho Tsai · Taiwanese Journal of Mathematics · 1
Gaps between consecutive Dirichlet eigenvalues for positively curved domains
2026 · Laiyuan Gao, Haoran Hou · Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Evolving star-shaped curves to equichordal curves
2025 · Laiyuan Gao, Wenjing Pan, et al. · International Journal of Mathematics
Star-shaped Curves under Gage's Area-preserving Flow and the CSF
2024 · Gao, Laiyuan, Zhang, Shicheng, et al. · arXiv (Cornell University)
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Deforming locally convex curves into curves of constant k-order width
2024 · Laiyuan Gao, Horst Martini, et al. · Differential Geometry and its Applications
Deforming Locally Convex Curves into Curves of Constant $k$-order Width
2024 · Gao, Laiyuan, Martini, Horst, et al. · arXiv (Cornell University)
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Deforming Locally Convex Curves into Curves of Constant K-Order Width
2024 · Laiyuan Gao, Horst Martini, et al. · SSRN Electronic Journal
Works count: 27
Citation count: 232
H-index: 8
I10-index: 7
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