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Mathematics

D-Index
33
Citations
3930
World Ranking
3066
National Ranking
154

Overview

Luen-Fai Tam is a researcher primarily affiliated with the Chinese University of Hong Kong in China. Their scholarly work spans multiple fields, focusing mainly on mathematics and aspects of physics and astronomy.

The main fields of study in which this researcher has contributed are:

  • Mathematics
  • Physics and Astronomy

Within these broader areas, they specialize in several subfields, including:

  • Applied Mathematics
  • Geometry and Topology
  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics
  • Signal Processing

The major topics that appear frequently in this scholar's work are:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Advanced Differential Geometry Research
  • Nonlinear Partial Differential Equations
  • Black Holes and Theoretical Physics
  • Algebraic Geometry and Number Theory
  • Geometric and Algebraic Topology

Luen-Fai Tam has published a significant number of papers in several notable venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Transactions of the American Mathematical Society
  • Journal of Differential Geometry
  • Canadian Journal of Mathematics
  • Communications in Analysis and Geometry

Some recent papers authored or coauthored by this researcher are:

  • "Chern-Ricci flows on noncompact complex manifolds", 2020, Journal of Differential Geometry
  • "Some local maximum principles along Ricci flows", 2020, Canadian Journal of Mathematics
  • "Kähler manifolds and mixed curvature", 2022, Transactions of the American Mathematical Society
  • "Longtime existence of Kähler-Ricci flow and holomorphic sectional curvature", 2022, Communications in Analysis and Geometry
  • "Kähler manifolds with almost nonnegative curvature", 2021, Geometry & Topology

This researcher has collaborated frequently with peers including Man-Chun Lee, Shaochuang Huang, Jianchun Chu, and Pengzi Miao. Of these, Man-Chun Lee appears as a coauthor most frequently.

Best Publications

  • Positive Mass Theorem and the Boundary Behaviors of Compact Manifolds with Nonnegative Scalar Curvature

    Yuguang Shi;Luen-Fai Tam

  • Harmonic functions and the structure of complete manifolds

    Peter Li;Luen-Fai Tam

  • The heat equation and harmonic maps of complete manifolds

    Unknown

  • LARGE-SPHERE AND SMALL-SPHERE LIMITS OF THE BROWN-YORK MASS

    Xu-Qian Fan;Yuguang Shi;Luen-Fai Tam

  • Symmetric Green's functions on complete manifolds

    Peter Li;Luen-Fai Tam

  • Linear growth harmonic functions on a complete manifold

    Peter Li;Luen-Fai Tam

  • Green's functions, harmonic functions, and volume comparison

    Peter Li;Luen-Fai Tam

  • Uniqueness and regularity of proper harmonic maps

    Peter Li;Luen-Fai Tam

  • On the volume functional of compact manifolds with boundary with constant scalar curvature

    Pengzi Miao;Luen Fai Tam

  • Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set

    Peter Li;Luen-Fai Tam

  • Complete surfaces with finite total curvature

    Peter Li;Luen-Fai Tam

  • On a necessary and sufficient condition for finite dimensionality of estimation

    Luen-Fai Tam;Wing Shing Wong;Stephen S. T. Yau

  • Plurisubharmonic Functions and the Structure of Complete Kähler Manifolds with Nonnegative Curvature

    Lei Ni;Luen-Fai Tam

  • Einstein and conformally flat critical metrics of the volume functional

    Pengzi Miao;Pengzi Miao;Luen Fai Tam

  • Poisson Equation, Poincaré-Lelong Equation and Curvature Decay on Complete Kähler Manifolds

    Lei Ni;Yuguang Shi;Luen-Fai Tam

  • PSEUDOLOCALITY FOR THE RICCI FLOW AND APPLICATIONS

    Albert Chau;Luen-Fai Tam;Chengjie Yu

  • Rigidity of compact manifolds and positivity of quasi-local mass

    Yuguang Shi;Luen-Fai Tam

  • Harmonic maps from the complex plane into surfaces with nonpositive curvature

    Unknown

  • Structure and classification theorems of finite-dimensional exact estimation algebras

    Rui-Tao Dong;Luen-Fai Tam;Wing Shing Wong;Stephen S.-T. Yau

  • Kähler-Ricci Flow and the Poincaré-Lelong Equation

    Lei Ni;Luen-Fai Tam

  • Evaluation of the ADM mass and center of mass via the Ricci tensor

    Pengzi Miao;Luen Fai Tam

  • On the Complex Structure of Kähler Manifolds with Nonnegative Curvature

    Albert Chau;Luen-Fai Tam

  • Poincaré–Lelong equation via the Hodge–Laplace heat equation

    Lei Ni;Luen-Fai Tam

  • Uniqueness and regularity of proper harmonic maps II

    P. Li;Luen-Fai Tam

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