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- Harold Rosenberg

Mathematics

Brazil

2022

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
39
Citations
4,968
145
World Ranking
1502
National Ranking
11

2022 - Research.com Mathematics in Brazil Leader Award

- Mathematical analysis
- Geometry
- Pure mathematics

Harold Rosenberg focuses on Geometry, Mean curvature, Minimal surface, Mathematical analysis and Constant-mean-curvature surface. His research in Geometry intersects with topics in Manifold and Topology. His work on Mean curvature flow and Total curvature as part of general Mean curvature study is frequently linked to Finite topological space, bridging the gap between disciplines.

His Minimal surface study incorporates themes from Combinatorics, Conjecture, Plus and minus signs, Hyperbolic geometry and Chen–Gackstatter surface. His Mathematical analysis study combines topics in areas such as Lamination and Constant. His research in Constant-mean-curvature surface focuses on subjects like Pure mathematics, which are connected to Calculus.

- Hypersurfaces of constant curvature in space forms (225 citations)
- The uniqueness of the helicoid (173 citations)
- A Hopf differential for constant mean curvature surfaces in S2×R and H2×R (146 citations)

The scientist’s investigation covers issues in Mathematical analysis, Mean curvature, Minimal surface, Pure mathematics and Combinatorics. His Mathematical analysis study integrates concerns from other disciplines, such as Curvature, Type, Boundary and Sectional curvature. His research on Mean curvature concerns the broader Geometry.

His Minimal surface research is multidisciplinary, incorporating elements of Helicoid, Euclidean geometry and Chen–Gackstatter surface. His Pure mathematics study deals with Surface intersecting with Bounded function. Harold Rosenberg has researched Combinatorics in several fields, including Discrete mathematics, Diffeomorphism, Geodesic and Regular polygon.

- Mathematical analysis (57.47%)
- Mean curvature (45.40%)
- Minimal surface (37.36%)

- Mathematical analysis (57.47%)
- Mean curvature (45.40%)
- Combinatorics (27.01%)

Harold Rosenberg mainly focuses on Mathematical analysis, Mean curvature, Combinatorics, Curvature and Minimal surface. He combines subjects such as Surface, Regular polygon and Sectional curvature with his study of Mathematical analysis. The study incorporates disciplines such as Space form, Type, Pure mathematics and Constant in addition to Mean curvature.

His work deals with themes such as Diffeomorphism, Invariant, Half-space and Bounded function, which intersect with Combinatorics. His Curvature research is multidisciplinary, incorporating perspectives in Riemannian manifold, Plane and Riemannian surface. His Minimal surface research includes themes of Almost everywhere, Geodesic, Vertical translation and Euclidean geometry.

- General curvature estimates for stable H-surfaces in 3-manifolds applications (86 citations)
- Construction of harmonic diffeomorphisms and minimal graphs (82 citations)
- Complete surfaces with positive extrinsic curvature in product spaces (57 citations)

- Mathematical analysis
- Geometry
- Pure mathematics

Harold Rosenberg mostly deals with Mean curvature, Mathematical analysis, Curvature, Constant and Sectional curvature. His study with Mean curvature involves better knowledge in Geometry. His work in the fields of Mathematical analysis, such as Minimal surface, Uniqueness and Dirichlet problem, overlaps with other areas such as Rigidity.

His studies in Minimal surface integrate themes in fields like Bounded curvature and Combinatorics. The various areas that Harold Rosenberg examines in his Curvature study include Mathematical proof, Boundary value problem and Monotone polygon. His Constant research integrates issues from Surface and Boundary.

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.

Hypersurfaces of constant curvature in space forms

H. Rosenberg.

Bulletin Des Sciences Mathematiques **(1993)**

338 Citations

Hypersurfaces of constant curvature in space forms

H. Rosenberg.

Bulletin Des Sciences Mathematiques **(1993)**

338 Citations

A Hopf differential for constant mean curvature surfaces in S2×R and H2×R

Uwe Abresch;Harold Rosenberg.

Acta Mathematica **(2004)**

310 Citations

A Hopf differential for constant mean curvature surfaces in S2×R and H2×R

Uwe Abresch;Harold Rosenberg.

Acta Mathematica **(2004)**

310 Citations

“Minimal Surfaces in ℍ2 × ℝ”

Barbara Nelli;Harold Rosenberg.

Bulletin of The Brazilian Mathematical Society **(2002)**

216 Citations

“Minimal Surfaces in ℍ2 × ℝ”

Barbara Nelli;Harold Rosenberg.

Bulletin of The Brazilian Mathematical Society **(2002)**

216 Citations

The uniqueness of the helicoid

William H. Meeks;Harold Rosenberg.

Annals of Mathematics **(2005)**

195 Citations

The uniqueness of the helicoid

William H. Meeks;Harold Rosenberg.

Annals of Mathematics **(2005)**

195 Citations

Generalized Hopf differentials

Uwe Abresch;Harold Rosenberg.

Matemática Contemporânea **(2005)**

178 Citations

Foliations by planes

Harold Rosenberg.

Topology **(1968)**

140 Citations

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