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- Paul Yang

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
5,819
103
World Ranking
2015
National Ranking
862

2015 - Fellow, National Academy of Inventors

2013 - Fellow of the American Mathematical Society

- 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.

- 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)

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.

- Mathematical analysis (49.59%)
- Pure mathematics (41.46%)
- Curvature (34.96%)

- Pure mathematics (41.46%)
- Curvature (34.96%)
- Mathematical analysis (49.59%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Conformal deformation of metrics on $S^2$

Sun Yung A. Chang;Sun Yung A. Chang;Paul C. Yang;Paul C. Yang.

Journal of Differential Geometry **(1988)**

470 Citations

Prescribing Gaussian curvature on S2

Sun-yung Alice Chang;Paul C. Yang.

Acta Mathematica **(1987)**

458 Citations

An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature

Sun Yung A. Chang;Matthew J. Gursky;Paul C. Yang.

Annals of Mathematics **(2002)**

323 Citations

Extremal metrics of zeta function determinants on 4-manifolds

Sun-Yung Alice Chang;Paul C. Yang.

Annals of Mathematics **(1995)**

316 Citations

The scalar curvature equation on 2- and 3-spheres

Sun-Yung Alice Chang;Matthew J. Gursky;Paul Chien-Ping Yang.

Calculus of Variations and Partial Differential Equations **(1993)**

315 Citations

Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds

Paul C. Yang;Shing-Tung Yau.

Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze **(1980)**

298 Citations

A perturbation result in prescribing scalar curvature on Sn

Sun Yung A. Chang;Paul C. Yang.

Duke Mathematical Journal **(1991)**

260 Citations

On uniqueness of solutions of $n$-th order differential equations in conformal geometry

Sun-Yung A. Chang;Paul C. Yang.

Mathematical Research Letters **(1997)**

230 Citations

An a priori estimate for a fully nonlinear equation on four-manifolds

Sun-Yung Alice Chang;Matthew J. Gursky;Paul Chien-Ping Yang.

Journal D Analyse Mathematique **(2002)**

202 Citations

Estimates and extremals for zeta function determinants on four-manifolds

Thomas P. Branson;Sun-Yung Alice Chang;Paul Chien-Ping Yang.

Communications in Mathematical Physics **(1992)**

187 Citations

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