A novel method for building special four-dimensional shapes in geometry and gravity.
― 5 min read
Mathematics - Differential Geometry
RSSThis paper examines isolated points in the moduli space of special Lagrangian submanifolds.
― 5 min read
GKP codes offer innovative solutions for quantum error correction and reliable computations.
― 4 min read
A look into five-dimensional theories and their geometrical properties in physics.
― 5 min read
Explore the impact of blowup techniques on Lie algebroids and their cohomology.
― 6 min read
Explore how surfaces change over time with mean curvature flow.
― 6 min read
A simplified overview of Lie groupoids, algebroids, and their cohomological properties.
― 5 min read
A look into contact geometry, Reeb orbits, and their significance in various fields.
― 4 min read
Introducing innovative metrics for SPD matrices to improve stability and usability.
― 7 min read
Explore how shapes change over time through mean curvature flow and self-shrinkers.
― 5 min read
Examining Sard's conjecture in the context of Carnot groups and endpoint maps.
― 5 min read
This article explores a geometric approach to intelligence and consciousness.
― 7 min read
Examining the unique features of the Iwasawa manifold and its deformations.
― 5 min read
Explore the role and applications of Simon-Łojasiewicz inequalities in various mathematical fields.
― 5 min read
This article explores the affine-additive group's structure and properties.
― 4 min read
An overview of flat sub-Lorentzian structures and the Martinet distribution.
― 4 min read
This article examines the significance of maxima and the spacing test in Gaussian random fields.
― 5 min read
Examining the ties between complex geometry and gauge theory.
― 4 min read
A study on the relationship between flag structures and Hitchin representations in geometry.
― 6 min read
A 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