Understanding optimal transport and Ricci flow in geometry and physics.
― 5 min read
Mathematics - Differential Geometry
RSSThis 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
Exploring the intersection of minimal surfaces and the Dirichlet problem in mathematics.
― 4 min read
An overview of gravitational instantons and their significance in geometry and black hole studies.
― 5 min read
An overview of period maps, compactification, and Hodge theory advancements.
― 6 min read
Exploring ALF family instantons and their unique geometric properties.
― 5 min read
A look into unique shapes and their transformations in geometry.
― 4 min read
This article examines the classification and properties of hexagonal circular 3-webs.
― 7 min read
Study reveals behaviors and rigidities of surfaces in geometric spaces.
― 3 min read
New insights into smooth surfaces that minimize area and their singularities.
― 4 min read
A look at how group actions and multispace help manage imperfect data.
― 6 min read
This article examines the stability of piecewise flat Ricci flow and strategies to improve numerical accuracy.
― 7 min read
Research reveals connections between scattering amplitudes and geometric structures.
― 5 min read
Analyzing how the Higgs field interacts with gravitational instantons and geometrical structures.
― 4 min read
Examining the stability of FLRW models under disturbances in astrophysics.
― 5 min read
This article discusses Dirac operators and their connection to Seiberg-Witten equations.
― 5 min read
Discover the link between crocheting and minimal surfaces in math.
― 6 min read
Exploring the role of symmetry breaking operators in vector bundles and representations.
― 5 min read