Latest Articles for Geometry

An overview of contact manifolds and their essential properties in topology.

A simpler approach to calculate Gromov-Hausdorff distances in metric spaces.

An exploration of circle packings and their unique properties in hyperbolic space.

Exploring the connection between Fréchet spaces and holomorphic functions in complex analysis.

Study of operators essential for analyzing holomorphic functions and their geometric properties.

How negative curvature influences particle movement in quantum systems.

A look into shapes and how they evolve through mean curvature flow.

This study reveals new insights into hypergraph colorability and weak chromatic numbers.

Explore the unique properties of Legendrian knots and their mathematical significance.

A look into the role of ribbon graphs and their significance in knot theory.

Examining the relationship between surfaces and their algebraic structures.

Studying energy interactions in unique geometric spaces reveals important behaviors.

This article explores the links between surfaces and their properties through curve graphs.

A look into the properties and types of polyhedra.

An overview of contact manifolds and their relationship to symplectic structures.

Exploring unique minimal surfaces in unimodular metric Lie groups.

Exploring Stiefel-Whitney classes and their computation for dihedral group representations.

A look at the role of substatic manifolds in geometry and their impact on physics.

A new method automates and improves the analysis of material shapes for better quality control.

A new algorithm streamlines the computation of local Coleman-Gross p-adic heights for hyperelliptic curves.

An overview of combinatorial problems related to joints and graph theory.

Exploring the relationship between intersection numbers, polynomials, and partition sequences.

Introducing a simplified approach to find integer points on hyperelliptic curves efficiently.

Explore the concept of biderivations in complete Lie algebras.

An exploration of how polyhedra relate through their fundamental groups.

Investigating how lines intersect to form joints and their implications in mathematics.

A look at systole, Morse functions, and their role in surface research.

This article analyzes polyhedra's depth and structure in mathematics.

An exploration of locked polyomino tilings and their significance in grid structures.

A new method to handle large datasets using Vietoris-Rips persistent homology.

Explore the creativity of non-periodic tiling with square and triangle tiles.

A look at the interplay between Lusztig sheaves and weight modules in mathematics.

This paper examines properties of uniformly rectifiable sets in mathematics.

Examining the unique behavior of geodesics on curved surfaces and their implications.

A look into noncommutative algebra's structures and their significance in various fields.

Exploring corks' role in studying exotic smooth structures in manifolds.

Examining conditions for closed geodesics in non-compact Riemannian manifolds.

Explore the fascinating world of Sierpiński fractals and their dimensions.

A look into the world of plane curves and their unique points.

Exploring the connections between Lagrangian fillings and Legendrian links in modern mathematics.