His primary areas of study are Mathematical analysis, Integrable system, Discrete differential geometry, Discretization and Constant-mean-curvature surface. His Mathematical analysis research is multidisciplinary, incorporating elements of Mean curvature flow, Curvature, Scalar curvature and Discrete system. Integrable system is a subfield of Pure mathematics that Alexander I. Bobenko studies.
In his study, Discrete geometry and Laplace operator is strongly linked to Minimal surface, which falls under the umbrella field of Discrete differential geometry. His Discretization study integrates concerns from other disciplines, such as Lie group, Equations of motion and Holomorphic function. His Constant-mean-curvature surface study combines topics from a wide range of disciplines, such as Total curvature, Delaunay triangulation, Combinatorics and Harmonic function.
His primary areas of investigation include Pure mathematics, Mathematical analysis, Integrable system, Discretization and Quadrilateral. His studies deal with areas such as Space and Structure as well as Pure mathematics. The concepts of his Mathematical analysis study are interwoven with issues in Mean curvature, Curvature and Gaussian curvature.
In his research, Alexander I. Bobenko undertakes multidisciplinary study on Integrable system and Context. His research integrates issues of Orthogonality, Invariant and Applied mathematics in his study of Discretization. His research in Discrete differential geometry intersects with topics in Minimal surface and Discrete geometry.
Alexander I. Bobenko focuses on Pure mathematics, Quadrilateral, Minimal surface, Space and Integrable system. His Pure mathematics study combines topics from a wide range of disciplines, such as Ring, Conical surface, Coordinate system and Diagonal. His Minimal surface study incorporates themes from Discrete mathematics, Gauss map, Polyhedron, Immersion and Unit sphere.
His Integrable system research incorporates themes from Laplace transform, Quadratic equation, Complex torus, Functional equation and Bipartite graph. His Curvature study combines topics in areas such as Theoretical physics, Mathematical analysis, Uniformization theorem and Riemann sphere. Alexander I. Bobenko mostly deals with Conformal symmetry in his studies of Mathematical analysis.
His primary scientific interests are in Pure mathematics, Minimal surface, Quadrilateral, Discretization and Confocal. His Pure mathematics research focuses on Conic section and how it relates to Differential geometry, Congruence relation, Inscribed figure and Incidence. His work carried out in the field of Minimal surface brings together such families of science as Gaussian curvature, Loop group, Integrable system, Space and Topology.
His Integrable system study integrates concerns from other disciplines, such as Discrete mathematics, Factorization, Anti-de Sitter space and Immersion. His Discretization study deals with the bigger picture of Mathematical analysis. Mathematical analysis and Coordinate system are commonly linked in his work.
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Classification of integrable equations on quad-graphs. The consistency approach
V.E.Adler;A.I.Bobenko.
arXiv: Exactly Solvable and Integrable Systems (2002)
Classification of Integrable Equations on Quad-Graphs. The Consistency Approach
V.E. Adler;A.I. Bobenko;Yu.B. Suris.
Communications in Mathematical Physics (2003)
Discrete Differential Geometry
Alexander I. Bobenko;Peter Schröder;John M. Sullivan;Günter M. Ziegler.
(2008)
Integrable systems on quad-graphs
Alexander I. Bobenko;Yuri B. Suris.
International Mathematics Research Notices (2002)
Discrete Differential Geometry: Integrable Structure
Alexander I. Bobenko;Yuri B. Suris.
(2008)
Surfaces in terms of 2 by 2 matrices. Old and new integrable cases
A. I. Bobenko.
(1994)
All constant mean curvature tori in R3, S3, H3 in terms of theta-functions
A. I. Bobenko.
Mathematische Annalen (1991)
Discrete Willmore flow
Alexander I. Bobenko;Peter Schröder.
symposium on geometry processing (2005)
Discrete isothermic surfaces.
Alexander Bobenko;Ulrich Pinkall.
(1996)
A Discrete Laplace–Beltrami Operator for Simplicial Surfaces
Alexander I. Bobenko;Boris A. Springborn.
Discrete and Computational Geometry (2007)
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