D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 32 Citations 7,099 89 World Ranking 2321 National Ranking 982

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2007 - Member of the National Academy of Sciences

2002 - Fellow of the American Academy of Arts and Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Pure mathematics

His primary areas of investigation include Pure mathematics, Mathematical analysis, Holonomy, Applied mathematics and Reduction. Robert L. Bryant is studying Projective test, which is a component of Pure mathematics. His studies deal with areas such as Ricci curvature, Ricci flow and Spinor, Mathematical physics as well as Mathematical analysis.

His Holonomy research is multidisciplinary, relying on both Geometry and Partial differential equation.

His most cited work include:

  • Exterior Differential Systems (582 citations)
  • Metrics with exceptional holonomy (544 citations)
  • On the construction of some complete metrics with exceptional holonomy (533 citations)

What are the main themes of his work throughout his whole career to date?

Robert L. Bryant mostly deals with Pure mathematics, Mathematical analysis, Curvature, Holonomy and Invariant. In the field of Pure mathematics, his study on Submanifold overlaps with subjects such as Affine connection. His work often combines Mathematical analysis and Differential algebraic geometry studies.

Robert L. Bryant combines subjects such as Flag, Geodesic and Constant with his study of Curvature. His study looks at the relationship between Holonomy and fields such as Spin-½, as well as how they intersect with chemical problems. His work carried out in the field of Invariant brings together such families of science as Isometry group, Homogeneous space and Integrable system.

He most often published in these fields:

  • Pure mathematics (59.26%)
  • Mathematical analysis (37.96%)
  • Curvature (15.74%)

What were the highlights of his more recent work (between 2011-2021)?

  • Pure mathematics (59.26%)
  • Invariant (11.11%)
  • Mathematical analysis (37.96%)

In recent papers he was focusing on the following fields of study:

His main research concerns Pure mathematics, Invariant, Mathematical analysis, Curvature and Holonomy. The study incorporates disciplines such as Degree, Algebraic equation and Homogeneous space in addition to Pure mathematics. Robert L. Bryant has included themes like Structure, Isometry, Lattice, Homothetic transformation and Integrable system in his Invariant study.

Mathematical analysis and Constant are frequently intertwined in his study. His Curvature research is multidisciplinary, incorporating perspectives in Flag and Metric. His Holonomy study combines topics from a wide range of disciplines, such as Fixed point, Quotient, Diagonal, Symplectic geometry and Induced metric.

Between 2011 and 2021, his most popular works were:

  • Remarks on the geometry of almost complex 6-manifolds (11 citations)
  • Geodesic behavior for Finsler metrics of constant positive flag curvature on $S^2$ (8 citations)
  • S.-S. Chern's study of almost-complex structures on the six-sphere (8 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Geometry
  • Pure mathematics

Robert L. Bryant mainly investigates Pure mathematics, Invariant, Differential systems, Integrable system and Mathematical analysis. His research in Pure mathematics is mostly focused on Holonomy. His Holonomy study combines topics in areas such as Fixed point, Quotient, Diagonal, Induced metric and Symplectic geometry.

His research on Invariant frequently links to adjacent areas such as Curvature. The concepts of his Differential systems study are interwoven with issues in Hypersurface, Connection, Calculus and Counterexample. He has researched Integrable system in several fields, including Closed geodesic, Geodesic, Geodesic flow and Existential quantification.

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.

Best Publications

Exterior Differential Systems

Robert L. Bryant;Shiing-Shen Chern;Robert B. Gardner;Phillip Griffiths.
(1990)

1342 Citations

Exterior Differential Systems

Robert L. Bryant;Shiing-Shen Chern;Robert B. Gardner;Phillip Griffiths.
(1990)

1342 Citations

Metrics with exceptional holonomy

Robert L. Bryant.
Annals of Mathematics (1987)

680 Citations

Metrics with exceptional holonomy

Robert L. Bryant.
Annals of Mathematics (1987)

680 Citations

On the construction of some complete metrics with exceptional holonomy

Robert L. Bryant;Simon M. Salamon.
Duke Mathematical Journal (1989)

626 Citations

On the construction of some complete metrics with exceptional holonomy

Robert L. Bryant;Simon M. Salamon.
Duke Mathematical Journal (1989)

626 Citations

A duality theorem for Willmore surfaces

Robert L. Bryant.
Journal of Differential Geometry (1984)

500 Citations

A duality theorem for Willmore surfaces

Robert L. Bryant.
Journal of Differential Geometry (1984)

500 Citations

Conformal and minimal immersions of compact surfaces into the 4-sphere

Robert L. Bryant.
Journal of Differential Geometry (1982)

343 Citations

Conformal and minimal immersions of compact surfaces into the 4-sphere

Robert L. Bryant.
Journal of Differential Geometry (1982)

343 Citations

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