Latest Articles for Geometry

Exploring methods to determine if one shape can fit into another.

Explore the role of geodesic rays in the study of complex spaces.

A look into how tiles interact and form patterns without gaps.

An overview of translation surfaces and their intriguing properties.

Fano surfaces link geometry, algebra, and number theory in complex yet fascinating ways.

A study of unique surfaces shaped like caps in complex geometric spaces.

Exploring approximation of linear subspaces with rational numbers through Diophantine exponents.

This paper presents a new definition of Gaussian curvature in random surfaces.

Weighted projective spaces offer insights into geometry and algebra through varying point importance.

This paper discusses fractals, their properties, and significant conjectures in the field.

Discover the complexities of non-Hausdorff manifolds through the line with two origins.

An insight into Legendrian currents and their role in minimizing area in geometry.

A study of o-minimality and its implications for strongly minimal structures.

Exploring column sums and their impact on complexity and applications.

Analysis of Kropina spaces reveals insights into metrizability and curvature.

Exploring how groups interact with flag varieties through orbits and monoid actions.

Exploring the unique properties of CAT(0) spaces in geometry.

A deep look at the puzzle of fitting a sofa through a corner.

A detailed look at the Honeycomb Conjecture and its relevance across different geometric spaces.

This article introduces a geometrical framework for understanding quantum states and their changes.

This article discusses applying Steiner symmetrization to spherical shapes to enhance their properties.

Explore the relationship between metric structures and ultracategories in mathematics.

Exploring how light reflects in elliptical billiard tables and the significance of cusps.

Explore the complex relationships in signed projective cubes and their impact on mathematics.

Explore the unique properties of projective rectangles in geometry.

A look into the relationships between fundamental concepts in algebraic geometry.

An overview of creating minimal surfaces using pentagonal shapes and their applications.

A look into the complexities of non-commutative integration in two-dimensional spaces.

Explore the interaction of curves with complete intersections in geometry.

Exploring methods to extend functions in Sobolev spaces across various structures.

An overview of minimal submanifolds in Riemannian symmetric spaces.

A look into exact categories and their role in algebra and geometry.

Explore Grassmannians and their role in geometry and curvature analysis.

Exploring the role of triple grid diagrams in understanding surfaces and links in mathematics.

A look into knot theory, focusing on properties, invariants, and torsion elements.

A closer look at the properties and applications of braided Hopf algebras.

A concise overview of polytopes, their graphs, and symmetries.

Exploring the links between polyhedral products, toric geometry, and motivic homotopy theory.

Understanding sphere arrangements and their mathematical implications in higher dimensions.

An insight into the shape-shifting world of flexible polyhedra.