Latest Articles for Geometry

An overview of foliations and their complexities in mathematical study.

Investigating how curvature changes in manifolds over time through Ricci flow.

Discover how points interact with ellipses and ellipsoids through geometry.

A new theorem connects cohomology of algebraic varieties and Stein compacta.

Exploring new findings in Moser-Trudinger inequalities and their significance in mathematics.

Examining the impact of Ricci solitons and Einstein manifolds in geometry and physics.

A new approach to tackle geometric concepts through labeled structures.

Examining how curves evolve and change through shortening flow dynamics.

A straightforward look at elliptic curves and translation surfaces.

Investigating string behavior in fivebrane configurations offers new insights into black holes.

A basic overview of timelike general rotational surfaces and their significance.

Examining the complexity of the domino problem within hyperbolic groups.

A look into distance sets and their Hausdorff dimensions.

Explore the intriguing properties of asymptotically harmonic manifolds and their connections to geometry.

This article discusses the link between structural rigidity and group theory.

An exploration of shapes that minimize boundaries while enclosing volumes.

Exploring the continuum problem and its implications in set theory.

-adic functions reveal insights into automorphic representations and Shimura varieties.

A look into Hilbert bundles and their relevance in mathematics and beyond.

Exploring the connections between graph theory and geometric spaces to solve complex problems.

An overview of free groups, automorphisms, and their interactions in mathematics.

Examining the properties and applications of the Interception Curve on different surfaces.

Explore the Grushin plane's properties and significance in mathematics and physics.

A look into derived foliations and their role in mathematical integrability.

A novel approach to efficiently list paths on polyhedral surfaces.

A clear look at the concept of volume in various dimensions.

An overview of complex mathematical structures in three-dimensional spaces.

Exploring the significance and applications of minimal surfaces across various fields.

Exploring crucial properties of homeomorphisms and their behaviors on surfaces.

Exploring the unique blend of taxicab geometry and hyperbolic principles.

Researchers investigate resonances and their impact on hyperbolic surfaces.

An overview of modules, cohomology, and their connections in algebra.

An overview of metric spaces and their key properties.

Cacti play a crucial role in network analysis and geometric research.

This research examines the links between Gopakumar-Vafa invariants and quantum theory.

A tool designed to enhance the understanding of geometric data across various fields.

Explore how fractals and process systems relate through self-similarity and iterative processes.

A look into the relationships between varieties and morphisms in algebraic geometry.

A deep dive into moduli spaces and their impact on mathematics.

Exploring connections between geometric concepts and physical models through Vafa-Witten theory.