Mathematics - Differential Geometry

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Symplectic Geometry An Insight into Symplectic Hodge Theory

Discover the connections within Symplectic Hodge Theory and its structures.

Shane Rankin

2025-05-23T20:47:44+00:00 ― 7 min read

Latest Articles

Algebraic Geometry Numerically Flat Foliations and Poisson Geometry

Explore the relationship between numerically flat foliations and Poisson geometry.

Stéphane Druel, Jorge Vitório Pereira, Brent Pym

2025-05-19T11:10:48+00:00 ― 6 min read

Differential Geometry Einstein Metrics on Flag Manifolds Uncovered

Researchers investigate unique balanced shapes in mathematics.

Mikhail R. Guzman

2025-05-17T15:44:44+00:00 ― 4 min read

Differential Geometry Isoparametric Hypersurfaces: A Geometric Insight

Discover the captivating world of isoparametric hypersurfaces and their significance.

Ronaldo F. de Lima, Giuseppe Pipoli

2025-05-12T15:15:00+00:00 ― 6 min read

Geometric Topology A Look into Hyperbolic Surfaces

Discover the intriguing world of hyperbolic surfaces and their unique properties.

Yuxin He, Yunhui Wu

2025-05-11T15:25:52+00:00 ― 6 min read

Differential Geometry Twins in Kähler and Sasaki Geometry

Exploring the fascinating world of twins in geometry and their unique properties.

Charles P. Boyer, Hongnian Huang, Eveline Legendre

2025-05-09T19:59:48+00:00 ― 5 min read

Differential Geometry Kähler-Frobenius Manifolds: A Simple Guide

Discover the fascinating world of Kähler-Frobenius manifolds and their unique properties.

Noémie. C. Combe

2025-05-08T07:34:04+00:00 ― 5 min read

Differential Geometry Curvature and the Whimsy of Bubblesheets

An exploration of unique shapes shaped by curvature in geometry.

Jean Lagacé, Stephen Lynch

2025-05-08T04:45:56+00:00 ― 6 min read

Differential Geometry The Role of Symmetric Matrices in Physics

An exploration of symmetric matrices and their impact on physical systems.

Jakub Rondomanski, José D. Cojal González, Jürgen P. Rabe

2025-05-06T22:01:40+00:00 ― 5 min read

Differential Geometry Kenmotsu Manifolds and Ricci Solitons: A Unique Geometry

Explore the intriguing world of Kenmotsu manifolds and the role of Ricci solitons.

K. De, U. C. De

2025-05-06T03:43:36+00:00 ― 6 min read

Differential Geometry Exploring Almost-Fuchsian Representations in Mathematics

A look into the world of almost-Fuchsian representations and their implications.

Samuel Bronstein

2025-05-02T12:51:28+00:00 ― 7 min read

Analysis of PDEs The Science Behind Phase Changes and Fluids

Learn how phase transitions affect everyday materials and our daily lives.

Kobe Marshall-Stevens, Mayu Takada, Yoshihiro Tonegawa

2025-05-01T08:50:08+00:00 ― 5 min read

Differential Geometry A Look into Calibrated Submanifolds

Exploring the intricate world of calibrated submanifolds and their transformations.

Romy Marie Merkel

2025-05-01T00:25:44+00:00 ― 6 min read

Algebraic Geometry Exploring Toric Fano Manifolds and Kähler Metrics

A look into the fascinating world of toric Fano manifolds and their metrics.

DongSeon Hwang, Hiroshi Sato, Naoto Yotsutani

2025-04-30T21:37:36+00:00 ― 7 min read

Analysis of PDEs Curves and Flows: A Mathematical Exploration

An overview of curves, their properties, and how they change over time.

Yuning Liu, Yoshihiro Tonegawa

2025-04-27T18:21:36+00:00 ― 5 min read

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

High Energy Physics - Theory New Discoveries in Supersymmetry and Supergravity

Researchers unveil unique solutions in supergravity, enhancing our grasp of the universe.

Matteo Kevin Crisafio, Alessio Fontanarossa, Dario Martelli

2025-04-22T17:20:09+00:00 ― 4 min read

Differential Geometry Curves and Surfaces: A Mathematical Insight

Discover how curves interact with various surfaces and their applications.

Rafael López

2025-04-22T04:42:24+00:00 ― 6 min read

Differential Geometry The Intricacies of Rotational Surfaces

A look into the fascinating world of intrinsic rotational surfaces.

Seher Kaya, Rafael López

2025-04-22T02:37:06+00:00 ― 7 min read

Differential Geometry Curves in Dual Space: A Simple Guide

Discover the dynamics of curves in dual space and their real-life applications.

Rafael López

2025-04-22T00:31:48+00:00 ― 6 min read

Optimization and Control The Art of Optimal Transport in Spacetime

Learn how optimal transport reshapes resource movement across time and space.

Alec Metsch

2025-04-21T04:13:04+00:00 ― 5 min read

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