Exploring the role and properties of Spin(7)-structures in modern mathematics.
― 6 min read
Mathematics - Differential Geometry
RSSA guide to the study of complex manifolds and their properties.
― 7 min read
An overview of Carnot groups and their applications in control theory and path optimization.
― 6 min read
A new method simplifies checking forward-flatness in discrete-time systems.
― 5 min read
Discover the significance of Blaschke's theorem in convex shapes and their interactions.
― 5 min read
A look at how Newton's method adapts to complex mathematical structures.
― 5 min read
Exploring Nambu-Poisson structures and their applications in complex systems.
― 7 min read
Exploring how Riemannian Geometry reshapes our understanding of neural networks.
― 6 min read
Exploring the links between supersymmetry and generalized Kahler geometry in modern physics.
― 6 min read
Exploring the relationship between Finsler geometry and higher-spin fields in theoretical physics.
― 5 min read
Exploring the connections between Lie algebroids, blow-ups, and their geometric implications.
― 4 min read
A new perspective on convexity shapes the study of harmonic maps and minimal surfaces.
― 7 min read
Exploring the behavior and connections of self-expanders through Morse flow lines.
― 6 min read
Exploring the significance of parabolic and inflection points in ruled surfaces.
― 5 min read
Examining optimization techniques for challenging convex functions in unique geometric spaces.
― 7 min read
A look into determining safe movement areas for autonomous systems with unknown behaviors.
― 6 min read
This article explores isotropic surfaces and their mathematical interactions.
― 6 min read
Exploring the geometry and significance of 3-forms in symplectic manifolds.
― 5 min read
A deep look at compact manifolds and their influence on mathematical functions.
― 5 min read
A look into how curves intersect on hyperbolic surfaces.
― 4 min read
Exploring the impact of generalized Ricci flow on geometric shapes.
― 5 min read
Discover how group actions and invariants shape our understanding of geometry.
― 6 min read
Explore how the fundamental gap relates to different shapes and spaces.
― 6 min read
An overview of log Fano cone singularities and their stability.
― 5 min read
Exploring the links between hyperbolic manifolds and Riemann surfaces.
― 4 min read
Examining the behavior of rigid inclusions on non-flat surfaces with relevance to biology.
― 4 min read
Exploring the role of Manin pairs in geometry and physics.
― 4 min read
This article studies heat kernels in semisimple Lie groups using the Hodge Laplacian.
― 7 min read
Investigating the behavior and convergence of CAT-lattices within geometric structures.
― 7 min read
A simplified look at symplectic geometry and its various applications.
― 5 min read
Examining complex equations in three-dimensional manifolds and their implications.
― 6 min read
An overview of harmonic maps and their significance in geometry and topology.
― 8 min read
A method for better data classification using local models and fuzzy representations.
― 5 min read
This study reveals the properties and applications of normal matrices and balanced graphs.
― 5 min read
Exploring the characteristics and transformations of minimal surfaces in nature.
― 6 min read
A look into shapes that cover areas with minimal boundaries.
― 6 min read
Examining how mean curvature influences surfaces in complex geometric spaces.
― 5 min read
A look into instantons and their significance in geometry and topology.
― 7 min read
A detailed look at submanifolds and their geometric properties.
― 7 min read
This study reveals novel results about volume and diameter in Riemannian manifolds.
― 5 min read