Examining the relationships and behaviors of positively oriented simple polygons.
― 5 min read
Mathematics - Differential Geometry
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This article examines the rigidity and non-rigidity of hyperbolic manifolds and their implications.
― 5 min read
Explore how curvature influences our perception of shapes and their properties.
― 6 min read
This research delves into the classification of charge-3 monopoles using spectral curves.
― 6 min read
Exploring the structure and properties of almost complex manifolds through new cohomological perspectives.
― 4 min read
This article analyzes how curves change shapes over time.
― 5 min read
Examining the connection between bicycle movement and visual shape processing.
― 6 min read
A look into the Mahler conjecture and the slicing conjecture in convex geometry.
― 6 min read
Exploring instantons and orbifolds reveals deep connections in mathematics and physics.
― 4 min read
A look into the geometry and topology of foliated projective structures.
― 7 min read
Exploring the nature and implications of spacelike singularities in cosmology and astrophysics.
― 5 min read
A deep dive into the Steiner tree problem and self-similar trees.
― 6 min read
Explore solutions to boundary value problems in geometry and physics.
― 5 min read
A look at mean curvature and its significance in mathematics and related fields.
― 6 min read
An examination of triharmonic hypersurfaces and their stability across various spaces.
― 4 min read
Examining the evolution of harmonic maps and the significance of singular points.
― 6 min read
This article examines the behavior of curves in Carnot groups.
― 5 min read
Explore the role of Green's operators in wave behavior and mathematical analysis.
― 5 min read
Discover the intriguing behavior of geodesics near singularities in geometry.
― 5 min read
An insight into the behavior of geodesics on hyperbolic surfaces.
― 6 min read
Discover the connection between dancing polygons and rolling movements.
― 6 min read
Recent improvements in Strichartz estimates enhance understanding of quantum systems on complex surfaces.
― 5 min read
A look at the role of stability and geometry in holomorphic vector bundles.
― 5 min read
New results improve understanding of function behavior through Sobolev trace inequalities.
― 3 min read
Exploring the implications of extra dimensions in the universe.
― 6 min read
Examining the properties of Kähler manifolds through weighted extremal metrics and blowup processes.
― 5 min read
A look into Higgs bundles, their moduli spaces, and key mathematical concepts.
― 5 min read
A look into the unique properties of framed curves in geometry.
― 6 min read
Learn how trisections help analyze and simplify complex geometric structures.
― 6 min read
New method improves curvature estimation on polygon meshes for better graphics representation.
― 4 min read
Exploring the relationship between non-Lorentzian geometry and fluid behavior.
― 5 min read
A look into geodesic flows and their behavior on different surfaces.
― 6 min read
A look into how geometrical shapes relate to group theory.
― 5 min read
Research delves into the connection between geometry and mass distribution.
― 6 min read
A look into how shapes evolve under different forces.
― 6 min read
An overview of properties and functions in two-ended graphs.
― 5 min read
An overview of simplicial objects and their role in geometry and physics.
― 5 min read
A look into the Plateau problem and its significance in geometry.
― 5 min read
A look at free boundary surfaces, their stability, and curvature properties.
― 5 min read
A look into the role of pseudo-Hermitian manifolds in advanced geometry and physics.
― 4 min read
A simplified look at arc complexes and their significance in hyperbolic surfaces.
― 4 min read