What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Pure mathematics
His primary scientific interests are in Mathematical analysis, Mathematical physics, Conformal map, Geometry and Curvature.
His Mathematical analysis research is multidisciplinary, incorporating perspectives in Riemann curvature tensor and Invariant, Pure mathematics.
His Mathematical physics research includes elements of Curvature of Riemannian manifolds and Ricci decomposition, Ricci curvature, Ricci flow.
His Conformal map course of study focuses on Biharmonic equation and Euclidean space.
His work deals with themes such as Dirichlet problem, Heisenberg group and Uniqueness theorem for Poisson's equation, which intersect with Geometry.
His is doing research in Mean curvature, Prescribed scalar curvature problem and Scalar curvature, both of which are found in Curvature.
His most cited work include:
- Conformal deformation of metrics on $S^2$ (285 citations)
- Conformal deformation of metrics on $S^2$ (285 citations)
- Prescribing Gaussian curvature on S2 (283 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Mathematical analysis, Pure mathematics, Curvature, Conformal map and Conformal geometry.
The concepts of his Mathematical analysis study are interwoven with issues in Yamabe flow, Yamabe problem, Scalar curvature and Invariant.
Paul Yang works mostly in the field of Pure mathematics, limiting it down to topics relating to Laplace operator and, in certain cases, Manifold and Functional determinant.
Curvature is a subfield of Geometry that Paul Yang investigates.
His work on Minimal surface as part of general Geometry study is frequently linked to Deformation, therefore connecting diverse disciplines of science.
His research in Conformal map intersects with topics in Einstein, Mathematical physics, Metric, Yamabe invariant and Sobolev inequality.
He most often published in these fields:
- Mathematical analysis (49.59%)
- Pure mathematics (41.46%)
- Curvature (34.96%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (41.46%)
- Curvature (34.96%)
- Mathematical analysis (49.59%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Pure mathematics, Curvature, Mathematical analysis, Yamabe problem and Laplace operator.
His work carried out in the field of Pure mathematics brings together such families of science as Conformal map, Scalar curvature and Metric.
He has researched Curvature in several fields, including Operator, Conformal geometry, Prime and Constant.
His work is dedicated to discovering how Mathematical analysis, Yamabe flow are connected with Riemannian manifold and other disciplines.
His Yamabe problem research is under the purview of Geometry.
The study incorporates disciplines such as Mean curvature and Eigenvalues and eigenvectors in addition to Laplace operator.
Between 2015 and 2021, his most popular works were:
- Q-Curvature on a Class of Manifolds with Dimension at Least 5 (38 citations)
- A Positive Mass Theorem in Three Dimensional Cauchy–Riemann Geometry (32 citations)
- Q Curvature on a Class of 3‐Manifolds (29 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Pure mathematics
Paul Yang mostly deals with Mathematical analysis, Curvature, Pure mathematics, Conformal map and Scalar curvature.
His Mathematical analysis study incorporates themes from Geometry and Yamabe problem.
His Curvature research incorporates elements of Function, Metric and Constant.
His Constant research incorporates themes from Characterization, Asymptotic expansion, Heisenberg group and Conformal geometry.
In his study, Prescribed scalar curvature problem, Riemann curvature tensor and Yamabe invariant is strongly linked to Yamabe flow, which falls under the umbrella field of Conformal map.
His study in Scalar curvature is interdisciplinary in nature, drawing from both Kernel and CR manifold.
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