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Everything about One-form
Differential form of degree one or section of a cotangent bundle
In differential geometry, a one-form on a differentiable manifold is a differential form of degree one. One-forms are dual to vector fields on the same manifold, in the sense that a one-form pairs naturally with a vector field to produce a real valued function, or with a tangent vector at a point to produce a real number. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: One-formA 5-minute orientation
- Skim a recent paper: Majorbio Cloud: A one‐stop, comprehensive bioinformatic platform for multiomics analysesInfluential work since 2022
- Pick up a classic book: Before AdamThe most-reprinted book on the subject
- Read the landmark paper: TBtools-II: A “one for all, all for one” bioinformatics platform for biological big-data miningCited 4,242 times
- Go sideways: Cotangent spaceA closely related topic
- Go sideways: Differential formA closely related topic
📖 Definitions
Noun a covector field
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
TBtools-II: A “one for all, all for one” bioinformatics platform for biological big-data mining
Aryl−Aryl Bond Formation One Century after the Discovery of the Ullmann Reaction
Gravitational form factors of a spin one particle
One-form superfluids & magnetohydrodynamics
Closed-form decomposition of one-loop massive amplitudes
THE ISOLATION OF FACTOR ONE IN CRYSTALLINE FORM
Zero-form and one-form symmetries of the ABJ and related theories
Form of the One-Pion Exchange Potential
🆕 Influential since 2022
Majorbio Cloud: A one‐stop, comprehensive bioinformatic platform for multiomics analyses
One-Step Construction of Closed Pores Enabling High Plateau Capacity Hard Carbon Anodes for Sodium-Ion Batteries: Closed-Pore Formation and Energy Storage Mechanisms
Bridging Disciplines to Form a New One: The Emergence of Forensic Genetic Genealogy
Perinatal compromise affects development, form, and function of the hippocampus part one; clinical studies
FOXI3 pathogenic variants cause one form of craniofacial microsomia
📚 Books worth reading
Before AdamJack London · 1906
ONE PIECE 1尾田栄一郎 · 1997
ONE PIECE 4尾田栄一郎 · 1998
ONE PIECE 3尾田栄一郎 · 1998
ONE PIECE 10尾田栄一郎 · 1999
ONE PIECE 2尾田栄一郎 · 1998
ONE PIECE 6尾田栄一郎 · 1998
ONE PIECE 7尾田栄一郎 · 1999
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Cotangent space In differential geometry, the cotangent space is a vector space associated with a point x on a smooth (or differentiable) manifold ℳ; one can define a…
- Differential form In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, volumes, and higher-dimensional manifolds. The…
- Metric tensor In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold M (such as a surface) that…
- Differentiable manifold In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow…
- Vector calculus Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensiona…
- Covariant derivative In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative…
- Tensor field In mathematics and physics, a tensor field is a function assigning a tensor to each point of a region of a mathematical space (typically a Euclidean space…
- Connection (vector bundle) In mathematics, and especially differential geometry and gauge theory, a connection on a fiber bundle is a device that defines a notion of parallel transport…