Shing-Tung Yau
- On the proof of the positive mass conjecture in general relativity
1979/02/01 by Richard Schoen, Shing-Tung Yau · 93 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Cosmology and Gravitation Theories #Geometry and complex manifolds
- Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature
1979/07/01 by R. Schoen, Shing-Tung Yau, Shing–Tung Yau · 60 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
1982/06/01 by Peter Li, Shing-Tung Yau, Shing–Tung Yau · 58 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Advanced Differential Equations and Dynamical Systems
- Geometric Understanding of Deep Learning
2018/05/26 by Na Lei, Lei, Na, Zhongxuan Luo +5 · 1 voice · 1 citation
#cs.LG #stat.ML
- Heat Equations on Minimal Submanifolds and Their Applications
1984/10/01 by Shiu-Yuen Cheng, Shiu‐Yuen Cheng, Peter Li +2 · 15 citations
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering
- Isometric Embeddings into the Minkowski Space and New Quasi-Local Mass
2009/02/26 by Mu‐Tao Wang, Mu-Tao Wang, Shing-Tung Yau +1 · 16 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories
- Real Time Solution of the Nonlinear Filtering Problem without Memory II
2008/01/01 by Shing-Tung Yau, Stephen S.-T. Yau · 3 citations
- Fourier-Mukai number of a K3 surface
2002/02/02 by Shinobu Hosono, Bong H. Lian, Hosono, Shinobu +6 · 2 citations
Mathematics · #11A41 #11R29 #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:11A41 #msc:11R29 #msc:14J28
- Supertranslation invariance of angular momentum
2021/02/05 by Po-Ning Chen, Chen, Po-Ning, Mu-Tao Wang +5 · 1 voice · 3 citations
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #gr-qc #math-ph #math.DG
- Absence of Zero Energy States in Reduced SU(N) 3d Supersymmetric Yang Mills Theory
1997/11/21 by Jens Hoppe, Hoppe, Jens, Shing–Tung Yau +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
- Mirror Principle IV
2000/07/17 by Bong H. Lian, Kefeng Liu, Lian, Bong H. +3 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematics and Applications #math.AG
- From Special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai Transform
2000/05/11 by Naichung Conan Leung, Shing-Tung Yau, Eric Zaslow · 1 citation
Mathematics · Physics and Astronomy · #math.DG #hep-th #math.AG #math.SG
- Kummer structures on a K3 surface - An old question of T. Shioda
2002/02/09 by Shinobu Hosono, Hosono, Shinobu, Bong H. Lian +6 · 1 citation
Mathematics · #14J28 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:14J28
- Fourier-Mukai partners of a K3 surface of Picard number one
2002/11/16 by Shinobu Hosono, Bong H. Lian, Hosono, Shinobu +5 · 1 citation
Mathematics · #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J28
- Computing Conformal Structure of Surfaces
2002/12/13 by Xianfeng Gu, Shing–Tung Yau, Gu, Xianfeng +2 · 1 citation
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #Computer Graphics and Visualization Techniques #F.2.2 #FOS: Computer and information sciences #G.2.m #Graphics (cs.GR) #I.3.5 #cs.CG #cs.GR
- Canonical Metrics on the Moduli Space of Riemann Surfaces I
2004/03/03 by Kefeng Liu, Xiaofeng Sun, Liu, Kefeng +3 · 1 citation
Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG
- A degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups
2004/08/11 by Chien‐Hao Liu, Chien-Hao Liu, Shing-Tung Yau +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #hep-th #math.AG #msc:14N35 #msc:81T30
- Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds
2005/09/02 by Jixiang Fu, Ji-Xiang Fu, Fu, Ji-Xiang +3 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #hep-th
- Volume Stability for Hyperbolic Manifolds and Applications to General Relativity
2026/07/30 by Puskar Mondal, Shing-Tung Yau
Mathematics · Physics and Astronomy · #math.DG #gr-qc #math.AP