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Lista de obras de Shing-Tung Yau

A History in Sum

A geometric approach to problems in birational geometry

artículo científico publicado en 2008

A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry

artículo científico publicado en 1993

A survey of Calabi-Yau manifolds

Absolute phase-assisted three-dimensional data registration for a dual-camera structured light system

artículo científico publicado en 2008

Balanced metrics on non-Kähler Calabi-Yau threefolds

artículo científico publicado en 2012

Brain surface conformal parameterization using Riemann surface structure

artículo científico publicado en 2007

Brain surface conformal parameterization with algebraic functions

scientific article published on 01 January 2006

Brain surface conformal parameterization with the Ricci flow

artículo científico publicado en 2011

Brain surface conformal parameterization with the slit mapping

Brain surface parameterization using Riemann surface structure

article

Calabi-Yau manifold

artículo científico publicado en 2009

Canonical metrics on the moduli space of Riemann Surfaces I

artículo científico publicado en 2004

Cohomology and Hodge Theory on Symplectic Manifolds: I

artículo científico publicado en 2012

Cohomology and Hodge Theory on Symplectic Manifolds: II

artículo científico publicado en 2012

Cohomology and Hodge theory on symplectic manifolds: III

artículo científico publicado en 2016

Complete Kahler Manifolds with Zero Ricci Curvature. I

Complete Kähler manifolds with zero Ricci curvature II

Compression of surface registrations using Beltrami coefficients

Computational Conformal Geometry Behind Modern Technologies

artículo científico publicado en 2020

Computing quasiconformal maps using an auxiliary metric and discrete curvature flow

Computing shortest words via shortest loops on hyperbolic surfaces

artículo científico publicado en 2011

Conformal Slit Mapping and Its Applications to Brain Surface Parameterization

article

Davies–Gaffney–Grigor’yan Lemma on graphs

artículo científico publicado en 2015

Detection of shape deformities using Yamabe flow and Beltrami coefficients

Embedded Minimal Surfaces, Exotic Spheres, and Manifolds with Positive Ricci Curvature

article

Erratum to: A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry

artículo científico publicado en 1994

Erratum to: Optimization of Surface Registrations Using Beltrami Holomorphic Flow

scholarly article published in Journal of Scientific Computing

Evaluating quasi-local angular momentum and center-of-mass at null infinity

artículo científico publicado en 2020

Evolution of Angular Momentum and Center of Mass at Null Infinity

artículo científico publicado en 2021

Evolutionary dynamics on any population structure

artículo científico publicado en 2017

Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

artículo científico publicado en 1979

From special Lagrangian to Hermitian–Yang–Mills via Fourier–Mukai transform

GPU-assisted high-resolution, real-time 3-D shape measurement

artículo científico publicado en 2006

Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector

artículo científico publicado en 2007

Genus zero surface conformal mapping and its application to brain surface mapping

artículo científico publicado en 2004

Genus zero surface conformal mapping and its application to brain surface mapping.

artículo científico publicado en 2003

Hasse–Witt matrices, unit roots and period integrals

artículo científico publicado en 2022

High-resolution, real-time 3D absolute coordinate measurement based on a phase-shifting method

artículo científico publicado en 2006

Hyperbolic Harmonic Mapping for Surface Registration

artículo científico publicado en 2016

Hyperbolic harmonic brain surface registration with curvature-based landmark matching

artículo científico publicado en 2013

Independent component analysis-based classification of Alzheimer's disease MRI data

artículo científico publicado en 2011

Intrinsic brain surface conformal mapping using a variational method

Introduction to a deformed Hermitian Yang–Mills flow

artículo científico publicado en 2021

Mirror principle I

Mirror principle II

Mirror principle III

Mirror symmetry is T-duality

article published in 1996

Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction

artículo científico publicado en 2007

Numerical Computation of Surface Conformal Mappings

artículo científico publicado en 2012

On sampling with Markov chains

article

On the Existence of Hermitian-Yang-Mills Connections in Stable Vector Bundles

artículo científico publicado en 1986

On the Validity of the Definition of Angular Momentum in General Relativity

artículo científico publicado en 2015

On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

scholarly article by Shiu-Yuen Cheng & Shing-Tung Yau published July 1980 in Communications on Pure and Applied Mathematics

On the holonomic rank problem

artículo científico publicado en 2014

On the path homology theory of digraphs and Eilenberg–Steenrod axioms

artículo científico publicado en 2018

On the proof of the positive mass conjecture in general relativity

scholarly article by Richard Schoen & Shing-Tung Yau published February 1979 in Communications in Mathematical Physics

On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

article published in 1978

Optimal mass transport for geometric modeling based on variational principles in convex geometry

artículo científico publicado en 2014

Optimization of Surface Registrations Using Beltrami Holomorphic Flow

Path homology theory of multigraphs and quivers

artículo científico publicado en 2018

Period integrals and tautological systems

artículo científico publicado en 2017

Period integrals of vector bundle sections and tautological systems

artículo científico publicado en 2021

Positivity of quasilocal mass

artículo científico publicado en 2003

Positivity of the Total Mass of a General Space-Time

artículo científico publicado en 1979

Proof That the Bondi Mass is Positive

artículo científico publicado en 1982

Proof of the positive mass theorem. II

artículo científico publicado en 1981

Quasi-local energy with respect to a static spacetime

scholarly article

Quasi-local mass at null infinity in Bondi–Sachs coordinates

scholarly article

Quasilocal mass in general relativity

artículo científico publicado en 2009

Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces

artículo científico publicado en 2009

Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding

artículo científico publicado en 2014

Shape analysis of vestibular systems in adolescent idiopathic scoliosis using geodesic spectra

scientific article published on 01 January 2010

Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow

scientific article published on 01 January 2010

Sharp Davies–Gaffney–Grigor’yan Lemma on graphs

artículo científico publicado en 2017

Small resolutions of SU(5)-models in F-theory

Stringy cosmic strings and noncompact Calabi-Yau manifolds

Surface parameterization using Riemann surface structure

article

Symplectic Conifold Transitions

artículo científico publicado en 2002

Teichmüller Shape Space Theory and Its Application to Brain Morphometry

scientific article published on 01 January 2009

The Existence of Supersymmetric String Theory with Torsion

artículo científico publicado en 2005

The Harnack estimate for the Ricci flow on a surface — revisited

artículo científico publicado en 1997

The dynamical model for COVID-19 with asymptotic analysis and numerical implementations

artículo científico publicado en 2020

The existence of embedded minimal surfaces and the problem of uniqueness

article

Topology of Three Dimensional Manifolds and the Embedding Problems in Minimal Surface Theory

article