A study on the relationship between flag structures and Hitchin representations in geometry.
― 6 min read
Mathematics - Differential Geometry
RSSA study on complex shapes and their behaviors through mathematical forms.
― 4 min read
Examining the behavior and stability of Killing cylinders in non-Euclidean geometry.
― 5 min read
A look into the intriguing world of 3-manifolds and their properties.
― 5 min read
A study on marginally outer trapped surfaces and their implications for cosmic structures.
― 5 min read
Explore the significance of circle packings in understanding geometric surfaces.
― 6 min read
A look into invariant spinors and their significance in geometry and Lie algebras.
― 5 min read
An overview of the Chern form in the context of étale groupoids.
― 5 min read
A look into the properties and significance of geodesic balls in curved spaces.
― 5 min read
New methods help improve data analysis of SPD matrices.
― 5 min read
Explore the concepts of isometric and conformal embeddings in surface geometry.
― 5 min read
Explore the significance of harmonic spinors and 1-forms in geometry and topology.
― 6 min read
A fresh approach to understanding observables in classical field theory using Poisson algebra bundles.
― 18 min read
Exploring the connections between curved Ovsienko-Redou and GJMS operators.
― 5 min read
This article breaks down integration and its applications in simple terms.
― 6 min read
A study on refined Strichartz estimates for the Schrödinger equation in curved spaces.
― 6 min read
Examining how shapes change over time through curvature analysis.
― 5 min read
Exploring how ancient solutions reveal shape behaviors over time.
― 5 min read
Proof of two unique loops based on any point on a sphere.
― 5 min read
Research reveals efficient embeddings for complex mathematical spaces.
― 5 min read
Explore key concepts of Grassmann, flag, and Stiefel manifolds and their applications.
― 5 min read
An overview of Dirac operators, their indices, and implications in physics.
― 6 min read
A look into Riemann surfaces and their properties via Bergman kernels.
― 4 min read
Investigating the links between different geometric structures for practical applications.
― 3 min read
Examining the role and effects of conformal submersions in geometric structures.
― 4 min read
This article examines distance functions and their significance as topological Morse functions.
― 6 min read
An overview of Kähler metrics and their significance in geometry and physics.
― 7 min read
An overview of parabolic Higgs bundles and their role in mathematics and physics.
― 5 min read
This study presents a novel method for calculating indices in locally symmetric spaces.
― 4 min read
A look into ALF gravitational instantons and their unique properties in mathematics and physics.
― 5 min read
Logifolds improve understanding and accuracy in analyzing complex datasets.
― 5 min read
Explore the links between chaos, geometry, and prime numbers.
― 5 min read
New methods to compute geodesics on the Stiefel manifold enhance algorithm efficiency.
― 8 min read
Learn how Riemannian splines connect points smoothly on curved surfaces.
― 4 min read
This study reveals how shapes transform into simpler forms while preserving volume.
― 6 min read
Learn how friction affects mechanical systems with constraints.
― 5 min read
A look into fitting Riemannian surfaces into Lorentzian manifolds and their properties.
― 5 min read
An overview of Cayley fibrations and their relationship with manifolds.
― 4 min read
A look at how scalar curvature affects manifold geometry and metrics.
― 5 min read
An overview of key mathematical ideas and their practical uses.
― 4 min read