Shi Yuguang
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Chinese mathematician
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Shi Yuguangmathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Shi Yuguang's Degrees
- PhD Mathematics Peking University
Why Is Shi Yuguang Influential?
(Suggest an Edit or Addition)According to Wikipedia, Shi Yuguang is a Chinese mathematician at Peking University. His areas of research are geometric analysis and differential geometry. He was awarded the ICTP Ramanujan Prize in 2010, for "outstanding contributions to the geometry of complete Riemannian manifolds, specifically the positivity of quasi-local mass and rigidity of asymptotically hyperbolic manifolds."
Shi Yuguang's Published Works
Published Works
- Positive Mass Theorem and the Boundary Behaviors of Compact Manifolds with Nonnegative Scalar Curvature (2002) (264)
- Large-sphere and small-sphere limits of the Brown-York mass (2007) (90)
- Poisson Equation, Poincaré-Lelong Equation and Curvature Decay on Complete Kähler Manifolds (2001) (72)
- Rigidity of compact manifolds and positivity of quasi-local mass (2007) (42)
- Rigidity of Asymptotically Hyperbolic Manifolds (2004) (39)
- Gap phenomena and curvature estimates for Conformally Compact Einstein Manifolds (2014) (35)
- Scalar curvature and singular metrics (2016) (29)
- On Geometric Problems Related to Brown-York and Liu-Yau Quasilocal Mass (2009) (28)
- On the behavior of quasi-local mass at the infinity along nearly round surfaces (2008) (26)
- Quasi-Local Mass and the Existence of Horizons (2005) (25)
- Gauss map of translating solitons of mean curvature flow (2013) (24)
- Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds (2016) (22)
- Harmonic maps on hyperbolic spaces with singular boundary value (1999) (16)
- Uniqueness of the mean field equation and rigidity of Hawking Mass (2017) (16)
- On the fill-in of nonnegative scalar curvature metrics (2019) (15)
- Ricci flatness of asymptotically locally Euclidean metrics (2002) (15)
- Normalized Ricci flows and conformally compact Einstein metrics (2011) (15)
- Regularity and rigidity of asymptotically hyperbolic manifolds (2009) (14)
- Total mean curvature of the boundary and nonnegative scalar curvature fill-ins (2020) (13)
- The isoperimetric inequality on asymptotically flat manifolds with nonnegative scalar curvature (2015) (12)
- On the rigidity of Riemannian–Penrose inequality for asymptotically flat 3-manifolds with corners (2017) (10)
- Asymptotically hyperbolic metrics on the unit ball with horizons (2006) (9)
- Incompressible hypersurface, positive scalar curvature and positive mass theorem (2021) (6)
- Exhaustion of isoperimetric regions in asymptotically hyperbolic manifolds with scalar curvature $R\geq -6$ (2015) (6)
- Harmonic maps from Rn to Hm with symmetry (2002) (5)
- Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R ≥ −n (n − 1) (2016) (5)
- GAUSS MAPS OF TRANSLATING SOLITONS OF MEAN (2014) (5)
- Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity (2011) (5)
- Quasi-Spherical Metrics and Applications (2004) (5)
- Positive mass theorems of ALF and ALG manifolds (2021) (4)
- Some lower estimates of ADM mass and Brown-York mass (2004) (4)
- Characterization of Large Isoperimetric Regions in Asymptotically Hyperbolic Initial Data (2018) (4)
- Positivity of Brown–York mass with quasi-positive boundary data (2019) (4)
- Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension 3 (2018) (3)
- Control of Complex Structural Deformation and Fractures on Shale Gas Enrichment in Southern Sichuan Basin, China (2022) (3)
- Boundary behaviors and scalar curvature of compact manifolds (2006) (3)
- On the Construction of Some New Harmonic Maps from ℝm to ℍm (2001) (3)
- Harmonic Maps from ℝnto ℍmwith symmetry (2002) (3)
- Rigidity of 3D spherical caps via $\mu$-bubbles (2022) (2)
- NNSC-Cobordism of Bartnik Data in High Dimensions (2020) (2)
- HARMONIC MAPS FROM R n TO H m WITH SYMMETRY (2002) (2)
- Asymptotically hyperbolic metrics on a unit ball admitting multiple horizons (2007) (2)
- A Nonexistence Theorem of Proper Harmonic Morphisms Between Hyperbolic Spaces (2002) (2)
- Volume comparison of conformally compact manifolds with scalar curvature $R\geq -n\left(n-1\right)$ (2013) (2)
- On the asymptotic behavior of Einstein manifolds with an integral bound on the Weyl curvature (2012) (2)
- MAXIMAL SLICES IN ANTI-DE SITTER SPACES (2008) (1)
- Maximal Slice in Anti-de Sitter Space (2006) (1)
- Cardiolipin Remodeling by ALCAT1 Links Oxidative Stress and Mitochondrial Dysfunction to Cellular Senescence (2018) (1)
- Isoperimetric mass and isoperimetric regions in asymptotically flat manifold (2016) (1)
- Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity (2012) (0)
- Rigidity and non-rigidity of $\H^n/\Z^{n-2}$ with scalar curvature bounded from below (2023) (0)
- Ja n 20 13 GAUSS MAP OF TRANSLATING SOLITONS OF MEAN CURVATURE FLOW (2013) (0)
- Amino Acid Residues 24-31 but not Palmitoylation of Cysteines 30 and 45 Are Required for Membrane Anchol'mg of Glummic Acid Deearboxylase, GAD6s (2002) (0)
- On the rigidity of Riemannian–Penrose inequality for asymptotically flat 3-manifolds with corners (2018) (0)
- Uniqueness of the mean field equation and rigidity of Hawking Mass (2019) (0)
- 关于一类边界具有极大全中曲率的区域 (2023) (0)
- 2 3 Fe b 20 04 Rigidity of Asymptotically Hyperbolic Manifolds (2008) (0)
- Boundary behaviors of spacelike constant mean curvature surfaces in Schwarzschild spacetime (2022) (0)
- Normalized Ricci flows and conformally compact Einstein metrics (2011) (0)
- Characterization of Large Isoperimetric Regions in Asymptotically Hyperbolic Initial Data (2019) (0)
- Nonexistence of the NNSC-cobordism of Bartnik data (2020) (0)
- Some Geometric Problems of Conformally Compact Einstein Manifolds (2013) (0)
- On the fill-in of nonnegative scalar curvature metrics (2020) (0)
- Contributors (2019) (0)
- Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R ≥ −n (n − 1) (2015) (0)
- A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds (2006) (0)
- Harmonic maps with singular boundary value from complex hyperbolic spaces into rank one symmetric spaces (2000) (0)
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What Schools Are Affiliated With Shi Yuguang?
Shi Yuguang is affiliated with the following schools: