Exploring connections between geometric concepts and physical models through Vafa-Witten theory.
― 6 min read
Mathematics - Differential Geometry
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Exploring the properties and significance of associative submanifolds in mathematics.
― 5 min read
A deep dive into the study of constant mean curvature surfaces and their applications.
― 5 min read
An exploration of positive metrics linked to complex projective manifolds.
― 5 min read
A look into moduli spaces and their role in geometry and physics.
― 5 min read
Examining special geometries and instanton corrections in theoretical physics.
― 4 min read
Examining the Chern-Ricci flow and its impact on complex shapes and metrics.
― 6 min read
Exploring the significance of inscribed radius and curvature in manifold geometry.
― 5 min read
A look into monopoles and their role in gauge theories.
― 7 min read
Introducing a novel optimization framework for training neural networks using manifold structures.
― 7 min read
Examine how sundial shapes reveal cultural and technological insights.
― 6 min read
A look at how vanishing theorems influence algebraic geometry through Hodge theory.
― 6 min read
An overview of fiberwise Dirac operators and their relationship with eta invariants.
― 4 min read
A look at techniques to improve curvature estimation from noisy point cloud data.
― 6 min read
Study reveals how surface arrangement affects manifold rigidity.
― 5 min read
An overview of magnetic Dirac operators and their role in quantum mechanics.
― 4 min read
Learn about semialgebraic sets and Nash maps in algebra and geometry.
― 4 min read
Understanding optimal transport and Ricci flow in geometry and physics.
― 5 min read
This article discusses how Lie groups simplify contact mechanics in mechanical systems.
― 6 min read
Examining regularity theorems and their significance in minimal surfaces and mean curvature flows.
― 5 min read
Explore the significance of scalar curvature in geometry and its applications in physics.
― 6 min read
A look into the Hitchin component and its significance in geometry.
― 6 min read
A look into the properties and measurements of nearly spherical sets.
― 5 min read
Exploring scalar curvature's role in warped product metrics reveals vital geometric insights.
― 5 min read
Darboux theorems shed light on manifold structures in mathematics and physics.
― 5 min read
Examining energy functions in the context of Cartan-Hadamard manifolds and their minimizers.
― 4 min read
Examining the properties and existence of closed curves on Riemannian surfaces.
― 5 min read
Exploring eigenvalue behavior in ring shapes through mathematical analysis.
― 4 min read
A look at how surfaces bend and change shape.
― 4 min read
An exploration of helices and their significance in geometry and curvature.
― 5 min read
Exploring the importance of the fundamental gap in understanding shapes and curvature.
― 6 min read
The article connects QP-manifolds and tensor hierarchies in mathematical physics.
― 6 min read
Examining the properties and models of the Funk disc in geometry.
― 7 min read
This article explores the significance of valuations in geometry and their applications.
― 4 min read
A look into complex hyperbolic geometry, toroidal compactifications, and Kähler metrics.
― 5 min read
Discover how eye movements impact our vision and perception.
― 5 min read
Study surfaces with folded singularities and their significance in geometry.
― 5 min read
A look into maximal maps and maxfaces in geometry.
― 6 min read
A look into unique shapes in higher-dimensional spaces with special properties.
― 5 min read
Exploring the unique structures and properties of Margulis spacetimes.
― 5 min read
Exploring key insights from the generalized vanishing theorem in algebraic geometry.
― 4 min read