Latest Articles for Geometry

Explore tropical geometry and its connections to algebraic varieties through Chow groups.

Explore the fascinating shapes that shape our understanding of the universe.

Exploring the link between Toda lattice dynamics and minimal surfaces in mathematics.

A look into the nature of conformal metrics and their singularities.

A look into curvature, singularities, and metrics on surfaces.

A look into marked surfaces, arcs, and their mathematical relationships.

Geometric algebra provides a unified approach to geometry without heavy reliance on coordinates.

Study of groups through matrices and their properties.

A look into the fascinating world of 4D shapes that maintain constant width.

A look at convex polygons and their properties related to area and perimeter.

Exploring periodic behaviors in a map defined by three lines.

Exploring unique behaviors in non-Hermitian systems through exceptional points.

An overview of group algebras, circulant rings, and modular representation theory.

An overview of directed spaces, paths, and their significance in mathematics.

Recent advancements in algebraic geometry reveal new connections in polynomial intersections.

Exploring the connections between rational curves and complex surfaces.

An overview of sheaves and their importance in algebraic geometry.

This article investigates angle structures and their significance in hyperbolic manifolds.

Discover the unique properties and intersections of Lagrangian submanifolds.

Exploring the significance of generalized Cartan geometry in modern physics.

Discover the connections of modular forms with other areas of mathematics.

A look into Somos-5 sequences and their properties with dual numbers.

A novel algorithm improves calculations for theta functions in Schottky groups.

This article discusses the significance of link invariants, focusing on the Bénard-Conway invariant.

Exploring the dynamics of Hamiltonian systems through geometry and stability.

Exploring the relationship between heptagons and quartic curves in geometry.

Exploring the significance of positive solutions in polynomial equations and their applications.

Explore pseudospherical surfaces, their equations, solutions, and significant mathematical properties.

A look into the stability of mathematical structures like Lie algebras and groups.

Chevalley groups connect algebra and geometry through Lie algebras.

Exploring the properties of shapes in constrained spaces.

A look into the relationship between curves and their secant varieties.

Exploring the impact of boundary conditions on Dirac operators in Lorentzian geometry.

A look into the rigidity of Einstein metrics and their deformations.

An overview of structures and classifications within SU(2)-abelian graph manifolds.

Exploring the significance of hyperkähler manifolds in mathematics and their applications in physics.

HyperSteiner presents a more efficient method for calculating Steiner Minimal Trees.

Researchers investigate random triangulations to minimize costs and connect points on spheres.

Exploring Rozansky-Witten models and their significance in mathematics and physics.

A new way to explore hyperbolic geometry through physical movement in a virtual world.