# Robert Bryant

#13,027

Most Influential Person Now

American mathematician

## Robert Bryant 's AcademicInfluence.com Rankings

Robert Bryant mathematics Degrees

Mathematics

#658

World Rank

#1211

Historical Rank

#287

USA Rank

Differential Geometry

#19

World Rank

#25

Historical Rank

#8

USA Rank

Measure Theory

#2417

World Rank

#2891

Historical Rank

#688

USA Rank

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Mathematics

## Robert Bryant 's Degrees

- PhD Mathematics University of California, Berkeley

## Why Is Robert Bryant Influential?

(Suggest an Edit or Addition)According to Wikipedia, Robert Leamon Bryant is an American mathematician. He works at Duke University and specializes in differential geometry. Education and career Bryant grew up in a farming family in Harnett County and was a first-generation college student. He obtained a bachelor's degree at North Caroline State University at Raleigh in 1974 and a PhD at University of North Carolina at Chapel Hill in 1979. His thesis was entitled "Some Aspects of the Local and Global Theory of Pfaffian Systems" and was written under the supervision of Robert Gardner.

## Robert Bryant 's Published Works

### Published Works

- Metrics with exceptional holonomy (1987) (614)
- On the construction of some complete metrics with exceptional holonomy (1989) (579)
- Exterior Differential Systems (1990) (435)
- A duality theorem for Willmore surfaces (1984) (408)
- Some remarks on G2-structures (2006) (301)
- Conformal and minimal immersions of compact surfaces into the 4-sphere (1982) (300)
- Rigidity of integral curves of rank 2 distributions (1993) (246)
- Surfaces of mean curvature one in hyperbolic space (1987) (237)
- Submanifolds and special structures on the octonians (1982) (199)
- Some remarks on G_2-structures (2003) (159)
- Reduction for Constrained Variational Problems and κ 2 2 ds (1986) (159)
- Bochner-Kahler metrics (2000) (148)
- Pseudo-Reimannian metrics with parallel spinor fields and vanishing Ricci tensor (2000) (132)
- Projectively flat Finsler 2-spheres of constant curvature (1996) (126)
- An introduction to Lie groups and symplectic geometry (1995) (112)
- Some remarks on Finsler manifolds with constant flag curvature (2001) (110)
- Metrisability of three-dimensional projective structures (2008) (104)
- Characteristic cohomology of differential systems. I. General theory (1995) (97)
- Some Observations on the Infinitesimal Period Relations for Regular Threefolds with Trivial Canonical Bundle (1983) (94)
- Characteristic cohomology of differential systems II: Conservation laws for a class of parabolic equations (1995) (90)
- Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (2002) (87)
- Lie groups and twistor spaces (1985) (76)
- Minimal surfaces of constant curvature in ⁿ (1985) (75)
- Two Exotic Holonomies in Dimension Four , Path Geometries , and Twistor Theory (2004) (75)
- Remarks on the geometry of almost complex 6-manifolds (2005) (71)
- CLASSICAL, EXCEPTIONAL, AND EXOTIC HOLONOMIES : A STATUS REPORT (1996) (70)
- A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields (2007) (66)
- Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior (2011) (64)
- Second order families of special Lagrangian 3-folds (2000) (63)
- Some remarks on the geometry of austere manifolds (1991) (57)
- Conformal geometry and 3-plane fields on 6-manifolds (2005) (54)
- Minimal lagrangian submanifolds of Kähler-einstein manifolds (1987) (53)
- The Gauss equations and rigidity of isometric embeddings (1983) (51)
- Calibrated Embeddings in the Special Lagrangian and Coassociative Cases (1999) (49)
- Characteristics and existence of isometric embeddings (1983) (42)
- MINIMAL SURFACES OF CONSTANT CURVATURE IN S " BY (2010) (41)
- Nonembedding and nonextension results in special holonomy (2010) (40)
- Gradient Kahler Ricci solitons (2004) (39)
- Hyperbolic exterior differential systems and their conservation laws, part II (1995) (39)
- Some examples of special Lagrangian Tori (1999) (36)
- Recent advances in the theory of holonomy (1999) (35)
- Submanifolds in hyper-Kähler geometry (1989) (33)
- Élie Cartan and geometric duality (2000) (30)
- Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces (2000) (30)
- The Area Derivative of a Space-Filling Diagram (2004) (30)
- BIRS Workshop Differential Invariants and Invariant Differential Equations (2003) (21)
- Hyperbolic exterior differential systems and their conservation laws, part I (1995) (19)
- Some differential complexes within and beyond parabolic geometry (2011) (18)
- Geodesically reversible Finsler 2-spheres of constant curvature (2004) (18)
- Metrics with holonomy G2 or spin (7) (1985) (18)
- Harmonic morphisms with fibers of dimension one (1997) (17)
- Some isometric embedding and rigidity results for Riemannian manifolds. (1981) (15)
- On extremals with prescribed Lagrangian densities (1994) (14)
- FINSLER SURFACES WITH PRESCRIBED CURVATURE CONDITIONS (1998) (14)
- D-branes and Spinc structures (1998) (13)
- Linear Differential Systems (1991) (13)
- HOLOMORPHIC CURVES IN LORENTZIAN CR-MANIFOLDS (1982) (13)
- S.-S. Chern’s study of almost-complex structures on the six-sphere (2014) (12)
- Notes on exterior differential systems (2014) (11)
- Duality and Integrable Systems of Pseudoholomorphic Curves (1999) (10)
- Complex analysis and a class of Weingarten surfaces (2011) (9)
- A circle quotient of a G2 cone (2020) (9)
- On Surfaces with Prescribed Shape Operator (2001) (8)
- Nine Lectures on Exterior Differential Systems (2004) (8)
- SO(n)-Invariant Special Lagrangian Submanifolds of ℂn+1 with Fixed Loci* (2004) (7)
- Mirror Symmetry and Moduli Spaces of Superconformal Field Theories (1994) (5)
- On Finsler surfaces of constant flag curvature with a Killing field (2017) (5)
- Levi-Flat Minimal Hypersurfaces in Two-dimensional Complex Space Forms (1999) (4)
- Real hypersurfaces in unimodular complex surfaces (2004) (4)
- Differential Geometry and Differential Equations (1987) (4)
- A circle quotient of a $G_2$ cone (2019) (4)
- On the conformal volume of 2-tori (2015) (3)
- Notes on spinors in low dimension (2020) (3)
- The Origins of Spectra, an Organization for LGBT Mathematicians (2019) (1)
- Notes on Projective, Contact, and Null Curves (2019) (1)
- Applications of Commutative Algebra and Algebraic Geometry to the Study of Exterior Differential Systems (1991) (1)
- Flat Metrics with a Prescribed Derived Coframing (2019) (1)
- The geodesics and isoparametric functions on a Randers sphere ∗ (2021) (1)
- This article is dedicated to Shiing-Shen Chern, whose beautiful works on Finsler geometry have inspired so much progress in the subject. (2002) (0)
- FOLD SINGULARITIES IN PSEUDO RIEMANNIAN (2010) (0)
- On the convex Pfaff-Darboux Theorem of Ekeland and Nirenberg (2015) (0)
- EQUIVARIANT MINIMAL IMMERSIONS OFS 2 INTO S 2 m ( l ) (2010) (0)
- Griffiths Conference 2018 ” Modern Geometry ” March 1-4 , 2018 , University of Miami Titles and Absracts March 2 , 2018 (2018) (0)
- On some applications of Cartan's generalization of Lie's Third Fundamental Theorem (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie) (2000) (0)
- Interview with NSF DMS Director Juan Meza (2018) (0)
- An introduction to G2 and Spin(7) manifolds (2012) (0)
- Cartan-Kähler Theory (1991) (0)
- Ja n 19 97 HARMONIC MORPHISMS WITH FIBERS OF DIMENSION ONE (2008) (0)
- Presidential Views: Interview with Robert L. Bryant (2015) (0)
- “Manifolds with special holonomy and their calibrated submanifolds and connections” (2012) (0)
- Geometry Old and New: from Euclid to String Theory (2012) (0)
- The Characteristic Variety (1991) (0)
- Holonomy and Special Geometries (2005) (0)
- Linear Differential Operators (1991) (0)
- Integral geometry : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held August 12-18, 1984, with support from the National Science Foundation (1987) (0)
- Differential geometry and differential equations : proceedings of a symposium, held in Shanghai, June 21-July 6, 1985 (1987) (0)
- ON PROJECTIVELY FLAT FINSLER SPHERES (REMARKS ON A THEOREM OF (2003) (0)
- MANIFOLDS WITH SPECIAL HOLONOMY LECTURE 4: G2 AND Spin(7) (2003) (0)
- MANIFOLDS WITH SPECIAL HOLONOMY LECTURE 4: G2 AND Spin(7) (2003) (0)

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