Latest Articles for Geometry

Learn about metallic mean fractals and their intriguing properties.

Explore how the Laplace operator reveals properties of shapes like spheres and hemispheres.

Exploring the properties and relations of stable and pseudostable curves.

This article examines the properties and structures of compact, connected, orientable 3-manifolds with boundaries.

A look into Legendrian curves and their significance in contact topology.

Exploring the geometry and significance of 3-forms in symplectic manifolds.

A deep look at compact manifolds and their influence on mathematical functions.

This article details a new framework for Rozansky-Witten models using functors and categories.

Explore the relationships and properties of curve arrangements in mathematics.

A look at cluster algebras, their properties, and significant results in the field.

Examining subgroup actions on PL spheres and their relation to toric spaces.

A look into how extending line segments affects geometric dimensions.

A look at the Brauer-Chen algebra and its role in representation theory.

A look into how curves intersect on hyperbolic surfaces.

Explore how particles behave in polygonal billiards and their transport properties.

Exploring the impact of generalized Ricci flow on geometric shapes.

Discover how group actions and invariants shape our understanding of geometry.

Explore how the fundamental gap relates to different shapes and spaces.

An overview of log Fano cone singularities and their stability.

An analysis of sign-changing solutions and their implications in nonlinear equations on closed manifolds.

Local zeta functions connect geometry and number theory with implications in physics.

Exploring the links between hyperbolic manifolds and Riemann surfaces.

Exploring the properties and implications of dimly liftable modules in mathematics.

An overview of formality and its significance in algebraic structures.

Exploring the role of Manin pairs in geometry and physics.

A look into the concepts of Lagrangian Floer homology and its group interactions.

A look into the connections and structures within the permutahedron.

Learn how rectangulations aid in layout efficiency and design.

This article examines how curved spaces affect charged scalar fields and vacuum currents.

This study analyzes contact structures on Brieskorn spheres and lens spaces.

A look into character sheaves and their significance in algebra and geometry.

This article studies heat kernels in semisimple Lie groups using the Hodge Laplacian.

A study on the relationship between orders and lattices in number theory.

A look at connections in number theory through the Fontaine-Mazur conjecture.

This article examines how groups interact with geometric spaces and their boundaries.

A look at projective classes and their significance in topology.

Investigating the behavior and convergence of CAT-lattices within geometric structures.

This article explores the study of non-convex shapes and their properties.

A look at Young diagrams and their role in algebraic representation theory.

Categories are key structures for organizing mathematical objects and their relationships.