What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (57.47%)
- Mean curvature (45.40%)
- Minimal surface (37.36%)
What were the highlights of his more recent work (between 2008-2020)?
- Mathematical analysis (57.47%)
- Mean curvature (45.40%)
- Combinatorics (27.01%)
In recent papers he was focusing on the following fields of study:
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.
Between 2008 and 2020, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
