Latest Articles for Geometry

Explore the connections between sphere bundles and their formal properties.

This article explores the use of ellipsoids to simplify complex metric spaces.

A look into the complexities of 3-cusped hyperbolic manifolds and their volumes.

A deep look into motivic cycles and their role in algebraic geometry.

Investigating the behavior of small sets in three-dimensional rotation groups.

Exploring the relationship between non-Lorentzian geometry and fluid behavior.

This article explores symplectic manifolds and their properties in mathematics.

Examining the impact of field extensions on Massey products in algebra.

Research explores how cutting shapes provides insights into their original sizes.

A look into algebraic stacks and their significance in modern mathematics.

A look into geodesic flows and their behavior on different surfaces.

A closer look at wave behaviors in three-dimensional polyhedral shapes.

An examination of geodesics in hyperbolic surfaces and their unique properties.

An overview of gentle algebras and their significance in various fields.

Explore how Voronoi cells divide space and their applications in various fields.

A closer look at models with eight supercharges and their implications in physics.

Learn to build 3D models of tropical varieties using Polymake and OpenSCAD.

A look into funnel polygons, hidden sets, and convex covers.

Exploring statistical methods for complex data structures in estimation.

A look into how geometrical shapes relate to group theory.

A look into group actions and phenomena in CAT-spaces.

A look into self-similar groups and their complex structures.

Examining how boundary critical points can merge into the interior of manifolds.

A clear look at manifolds, differential operators, and their significance in mathematics.

Examining how different shapes influence their packing behaviors in two dimensions.

A look at how small changes affect equilibrium behavior in dynamic systems.

An overview of root systems, Weyl groups, and their significance in mathematics.

A method for grouping line segments and polylines based on distance measurement.

An overview of harmonic functions and their behavior on Lipschitz surfaces.

Exploring critical points related to energy densities and their implications in geometry and physics.

A look at the modulus metric and its significance in understanding geometric transformations.

Examining construction methods for contact manifolds with varied Weinstein fillings.

A look at important mathematical structures in geometry and algebra.

Examining the connection between del Pezzo surfaces and their stability thresholds.

A look into open books and trisections in manifold study.

Research reveals connections between rapid decay and polynomial growth in twisted etale groupoids.

A look into Arakelov geometry's impact on arithmetic surfaces and number theory.

A practical look at tropical mirrors in geometry.

Recent findings challenge the validity of the Simple Loop Conjecture in complex mappings.

Smith hat tiles create fascinating and non-repeating patterns in two-dimensional space.