Latest Articles for Geometry

An exploration of translation-dilation groups within number theory and algebraic geometry.

A study of unique submanifolds in Kaehler manifolds reveals new geometric insights.

Examining how length is redefined in noncommutative spaces.

Exploring the link between completeness and causality in Riemannian and Lorentzian manifolds.

A look into the intricacies of symplectic Clifford analysis, its methods, and applications.

This study investigates Bruhat intervals and their connection to convex geometry.

This article examines the impact of non-toric blowups on toric surfaces and their geometric implications.

A look into unique geometric structures formed from Riemannian manifolds.

A look into Cosserat solids and their significance in material science.

Examining the relationship between stability and limit sets in Kleinian groups.

This article discusses Ehrhart polynomials and counting points in generic orthotopes.

A look into circle packings and their role in hyperbolic geometry.

This article examines surface group representations, their properties, and geometric implications.

Explore the relationships between toric varieties, flips, and sheaf stability.

A study on the relationship between convex projective surfaces and Finsler metrics.

Examining odometers and their unique symmetries in dynamical systems.

Methods to compare data defined on shapes through metrics and stable representations.

This article examines the link between foliations and varieties using the adjunction formula.

A look into symplectic Lie algebra and its relevance in mathematics and physics.

A look into the relationships within 2-level polytopes and their subsets.

Analyzing Fano varieties' structure, torsion, and cohomology in higher dimensions.

A look into algebraic differential equations and their connected concepts.

Explore important aspects of Dirichlet forms and their applications in geometry and analysis.

A look into how groups of points maintain consistent relationships in geometry.

Exploring minimal triangulations and their role in understanding 2-manifolds.

An overview of lattices and approximate ultrahomogeneity in mathematics.

An overview of free boundary surfaces and constant mean curvature in geometry.

A study of geodesics and boundaries in manifolds with hyperbolic trapped sets.

A look into the characteristics and dimensions of pinned distance sets in mathematics.

Analyzing relationships between conformal dimensions in quasiself-similar and combinatorially Loewner spaces.

Explore how traveling times reveal shapes of strictly convex obstacles in curved spaces.

This research offers new methods for measuring distances between different dimensional spheres.

Examining the interplay of quantum representations and mapping class groups through kernels and Dehn twists.

An overview of contact geometry, highlighting its structures and practical implications.

Tropical geometry merges algebraic and combinatorial geometry to study curves.

Research introduces a new invariant to analyze hyperbolic surfaces' geometric properties.

A look into the Fermat sextic fourfold and its implications in theoretical physics.

Explore the differences and relationships between real and complex plane curves.

An overview of right-angled Artin groups and their relation to measure equivalence.

Explore how geometric inequalities reveal relationships within shapes.