Mathematics - Differential Geometry

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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

Latest Articles

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