Latest Articles for Geometry

Explore how surgeries on knots create diverse lens spaces.

Exploring minimal rigid graphs and their role in geometry and algebra.

Research on complete convex hypersurfaces in hyperbolic geometry.

A look into the structures and boundaries of trees and hyperbolic spaces.

A fresh approach for efficient optimization tasks on complex shapes.

A look into bounded cohomology and its role in studying groups and spaces.

This article clarifies complex ideas about bundles and their associated classes.

A look into the nature of singularities and their boundaries.

Explore the features and properties of hierarchical hyperbolic spaces.

This study examines magnetic curves and charged particle motion in Kenmotsu manifolds.

Exploring the role of equivariant volume in understanding gravity and its solutions.

Exploring the connections between tropical geometry and classical concepts through Chern classes.

A simplified look at betweenness algebras and their relevance in various fields.

Explore the differences between finite-type and infinite-type surfaces in topology.

A look into toroidal maps and hypermaps in mathematics.

Exploring fibered knots and their connection to volume and genus in 3-manifolds.

Examining the impact of curved geometries on quantum field theories and holographic principles.

A look into simple Lie groups, Poisson geometry, and cluster algebras.

Explore the connections and distances between Lagrangian submanifolds in symplectic geometry.

A look into how hyperplanes divide spaces and create regions.

An overview of smooth plane quartics, their bitangents, and unique geometric properties.

Simplifying the concepts of non-Archimedean geometry and its applications.

This article explores how stack-sorting reveals geometric shapes through number arrangements.

Exploring the unique properties of non-simple systoles on hyperbolic surfaces.

Learn how to minimize perimeter when dividing rectangles into smaller parts.

Learn about whole-plane SLE and its fascinating properties in the study of random curves.

A deep look into line arrangements and their mathematical properties.

A look into the uniqueness of minimal surfaces in hyperbolic geometry.

Explore the significance and representations of Coxeter groups in mathematics.

A look into the properties and applications of flag manifolds in mathematics.

Learn the basics of nonlinear Dirichlet forms and their significance in various fields.

Examining connections between algebraic structures through quantum groups and representation theory.

Explore the significance of friezes in the study of cluster algebras.

A simplified look at Lie groups, groupoids, and higher dimensional structures.

An exploration of invariant prime ideals within equivariant Lazard rings and their connections.

A look at Einstein structures and their significance in physics and geometry.

Quasisymmetric functions connect algebra and combinatorics, revealing complex structures.

Study of sphere arrangements in three-dimensional manifolds with boundaries.

Exploring the behavior of lattice points in various geometric shapes.

An exploration of spheres arranged in three-dimensional spaces and their properties.