Mathematics - Differential Geometry

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Differential Geometry The Intricate World of Manifolds and Minimal Surfaces

Discover the fascinating relationship between shapes and surfaces in geometry.

Qixuan Hu, Guoyi Xu, Shuai Zhang

2025-04-24T21:26:42+00:00 ― 6 min read

Latest Articles

Differential Geometry The Fascinating World of Circle Bundles and Manifolds

Explore the interplay between circle bundles and manifolds in mathematics.

Aditya Kumar, Balarka Sen

2025-04-17T07:05:10+00:00 ― 6 min read

Differential Geometry Curves of Interest: The Mystery of Closed Geodesics

Explore the fascinating world of closed geodesics on bumpy spheres.

Talant Talipov

2025-04-15T01:48:30+00:00 ― 7 min read

Geometric Topology Fitting Squares into Curves: A Mathematical Quest

Can a square perfectly fit on a round surface? Discover the intriguing challenges.

Ali Naseri Sadr

2025-04-14T20:28:50+00:00 ― 6 min read

Differential Geometry The Wonders of Hyper-Dual Numbers and Ruled Surfaces

Discover how hyper-dual numbers and ruled surfaces shape technology and design.

Khadidja Derkaoui, Fouzi Hathout, Murat Bekar

2025-04-14T01:50:00+00:00 ― 6 min read

Differential Geometry Journey Through Minimal Submanifolds and Symmetric Spaces

Explore the fascinating world of minimal surfaces and their structures.

Mikolaj Fraczyk, Ben Lowe

2025-04-13T07:11:10+00:00 ― 5 min read

Differential Geometry Advancements in Hurricane Forecasting Techniques

Learn how modern methods improve hurricane predictions and preparedness.

Esfandiar Nava-Yazdani

2025-04-12T21:48:53+00:00 ― 7 min read

Statistics Theory Improving Boundary Detection in Noisy Data

A new method enhances boundary detection amid noise challenges.

Dhruv Kohli, Jesse He, Chester Holtz

2025-04-11T20:22:58+00:00 ― 5 min read

Differential Geometry The Hidden Geometry of Balanced Vertices

Explore the fascinating world of triangles on curved surfaces and their balance.

Duc Toan Nguyen

2025-04-09T15:16:40+00:00 ― 5 min read

Classical Analysis and ODEs The Quirky World of Singularities

Explore the thrilling twists of mathematical singularities and their secret lives.

Martin Klimeš

2025-04-03T23:25:10+00:00 ― 7 min read

Differential Geometry The Geometry of Learning in Machine Learning

Discover how geometry shapes learning processes in statistics and neural networks.

Noémie C. Combe

2025-04-01T20:48:20+00:00 ― 5 min read

Differential Geometry The Allure of Constant Mean Curvature Surfaces

Discover the fascinating world of constant mean curvature surfaces and their mathematical beauty.

Martin Kilian

2025-03-29T20:52:50+00:00 ― 6 min read

Spectral Theory The Fascinating World of Steklov Eigenvalues

Discover the unique properties of surfaces through Steklov eigenvalues and their multiplicity.

Samuel Audet-Beaumont

2025-03-20T23:46:10+00:00 ― 6 min read

Algebraic Geometry Layers of Geometry: Unpacking Calabi-Yau Foliations

Discover the intricate world of Calabi-Yau foliations and their significance in mathematics.

Rémi Danain-Bertoncini

2025-03-20T13:06:50+00:00 ― 6 min read

Symplectic Geometry Dancing Through Dimensions: The World of Contact Geometry

Discover the intriguing connections between contact geometry and real-world applications.

Simon Vialaret

2025-03-20T02:27:30+00:00 ― 7 min read

Differential Geometry Geometry: The Art of Space and Shape

Explore the fascinating world of geometry and its mysteries.

Xianzhe Dai, Changliang Wang, Lihe Wang

2025-03-12T02:39:30+00:00 ― 7 min read

Algebraic Topology The Kervaire Invariant: A Milestone in Topology

New findings reveal smooth framed manifolds in dimension 126.

Weinan Lin, Guozhen Wang, Zhouli Xu

2025-03-07T00:07:10+00:00 ― 4 min read

Metric Geometry Journey into Gromov-Hyperbolic Spaces

Discover the intriguing world of Gromov-hyperbolic spaces and their real-world applications.

Nicola Cavallucci

2025-03-06T16:07:40+00:00 ― 7 min read

Group Theory Decoding Higher-Rank Sol-Type Groups

Exploring the complex world of higher-rank Sol-type groups in mathematics.

Daniel N. Levitin

2025-03-04T16:10:40+00:00 ― 6 min read

Operator Algebras Wishart Distribution: Merging Geometry and Statistics

Explore the fascinating links between Wishart laws, geometry, and real-world applications.

Noemie C. Combe

2025-03-02T05:34:20+00:00 ― 7 min read

Differential Geometry Understanding Riemannian Manifolds: A Deep Dive

Explore the shape and properties of curved spaces through Riemannian geometry.

Gioacchino Antonelli, Marco Pozzetta, Kai Xu

2025-02-25T19:01:00+00:00 ― 6 min read

Optimization and Control Mastering Optimal Transport for Real-World Solutions

Learn how optimal transport impacts logistics, data science, and everyday applications.

Sachin Shivakumar, Georgiy A. Bondar, Gabriel Khan

2025-02-25T05:41:50+00:00 ― 6 min read

Differential Geometry The Magic of Higgs Bundles

Discover the fascinating world of Higgs bundles and their unique properties.

Song Dai, Qiongling Li

2025-02-23T13:44:20+00:00 ― 5 min read

Symplectic Geometry The Dance of Geometry: Hamiltonian Manifolds and Cohomology

Unraveling the relationship between shapes and group actions in mathematics.

Tara S. Holm, Liat Kessler, Susan Tolman

2025-02-23T03:05:00+00:00 ― 8 min read

Mathematical Physics Dancing with Supersymmetry: Unraveling Yang-Mills Theory

Discover the intricate world of Supersymmetric Yang-Mills Theory and its connections.

Michael Bleher

2025-02-21T08:42:46+00:00 ― 7 min read

Metric Geometry Understanding Metric Spaces: A Simple Guide

Learn about metric spaces and their role in measuring distances.

Denis Marti, Elefterios Soultanis

2025-02-12T19:20:30+00:00 ― 6 min read

Differential Geometry Curvature and the Dance of Space

Explore the fascinating world of space curvature and its implications.

Yaoting Gui, Yuqiao Li, Jun Sun

2025-02-08T14:06:50+00:00 ― 8 min read

Differential Geometry Curves in Motion: The Art of Flow

Discover how curves change over time through unique flows.

Laiyuan Gao, Shicheng Zhang, Yuntao Zhang

2025-02-07T00:49:10+00:00 ― 6 min read

Analysis of PDEs Efficient Data Clustering with Volume Constraints

Discover how the volume-constrained MBO scheme improves data organization and analysis.

Fabius Krämer, Tim Laux

2025-02-04T06:13:20+00:00 ― 5 min read

Differential Geometry The Geometry of Bicycle Motion

Discover how curves shape bicycle stability and movement.

G. Bor, L. Hernández-Lamoneda, S. Tabachnikov

2025-02-02T22:15:20+00:00 ― 6 min read

Symplectic Geometry Gromov's Non-Squeezing Theorem: A Deeper Look

Discover how Gromov's theorem challenges our understanding of shapes and spaces.

Shah Faisal

2025-02-02T03:36:30+00:00 ― 7 min read

Differential Geometry The Enigma of Special Lagrangian Pants

Discover the unique geometric shapes behind the Donaldson-Scaduto conjecture.

Gorapada Bera, Saman Habibi Esfahani, Yang Li

2025-01-30T01:01:10+00:00 ― 6 min read

Mathematical Physics Thermodynamics: The Dance of Energy and Geometry

Explore how geometry helps us understand thermodynamics and energy flow.

Manuel de León, Jaime Bajo

2025-01-27T19:35:26+00:00 ― 7 min read

Differential Geometry Discovering the Secrets of Metric Spaces

An overview of metric spaces, curvature, and their fascinating properties.

Xin Qian

2025-01-25T06:28:20+00:00 ― 6 min read

Spectral Theory The Page Metric: Revealing Black Hole Mysteries

Discover how the Page metric helps us understand black holes and their behavior.

Robie A. Hennigar, Hari K. Kunduri, Kam To Billy Sievers

2025-01-22T16:59:22+00:00 ― 6 min read

Differential Geometry Unraveling Ideals in Lie Algebras

A light-hearted look at ideals in Lie algebras and their significance.

I. Ermeidis, M. Jotz

2025-01-22T09:12:40+00:00 ― 6 min read

High Energy Physics - Theory Unlocking the Secrets of Ricci-Flat Metrics

Discover how machine learning aids in understanding complex geometrical shapes.

Viktor Mirjanić, Challenger Mishra

2025-01-22T08:13:56+00:00 ― 6 min read

Differential Geometry Unraveling the Wonders of Parabolic Geometries

Discover the intriguing world of parabolic geometries and their unique shapes.

Jan Slovák, Vladimír Souček

2025-01-21T17:13:40+00:00 ― 8 min read

Differential Geometry The Secrets of Yang-Mills Theory

Discover the complex world of Yang-Mills theory and its significance in physics.

Anuk Dayaprema, Alex Waldron

2025-01-20T03:56:00+00:00 ― 7 min read

Analysis of PDEs Understanding Differential Inequalities and Their Applications

Explore how differential inequalities relate to shapes and real-world applications.

Anuk Dayaprema

2025-01-19T22:36:20+00:00 ― 5 min read

Differential Geometry The Geometry of Four Dimensions: A Dance of Shapes

Exploring four-dimensional shapes and the role of Weyl tensors in geometry.

Amir Babak Aazami

2025-01-17T21:33:12+00:00 ― 7 min read