Keyword

differential forms

Description: Differential forms are antisymmetric tensor fields used in calculus, geometry, topology, and mathematical physics to describe quantities integrated over manifolds.

Primary topic: Advanced Differential Geometry Research (26%)

Wikidata ID: wiki/Q1047080

OpenAlex ID: keywords/differential-forms

Foundations of Differential Geometry

1963 · Shôshichi Kobayashi, Katsumi Nomizu · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · 6,166

Geometric Measure Theory

1988 · Elsevier eBooks · 5,131

Mathematical Methods of Classical Mechanics

1978 · V. I. Arnold · Graduate texts in mathematics · 5,107

Differential Forms in Algebraic Topology

1982 · Raoul Bott, Loring W. Tu · Graduate texts in mathematics · 2,760

Geometrical Methods in the Theory of Ordinary Differential Equations

1988 · V. I. Arnold · Grundlehren der mathematischen Wissenschaften · 2,531

Introduction to Smooth Manifolds

2012 · John M. Lee · Graduate texts in mathematics · 2,348

An invariant form for the prior probability in estimation problems

1946 · Harold Jeffreys · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 2,339

Manifolds, Tensor Analysis, and Applications

1988 · Ralph Abraham, Jerrold E. Marsden, et al. · Applied mathematical sciences · 1,779

Geometrical Methods in the Theory of Ordinary Differential Equations

1983 · V. I. Arnold · Grundlehren der mathematischen Wissenschaften · 1,575

Lectures on Classical Differential Geometry.

1952 · C. E. Springer, D. J. Struik · American Mathematical Monthly · 1,370

Geometric Integration Theory

1957 · Hassler Whitney · Princeton University Press eBooks · 1,368

Natural Operations in Differential Geometry

1993 · Ivan Kolář, Jan Slovák, et al. · Springer eBooks · 1,257

Non-commutative differential geometry

1985 · Alain Connes · Publications mathématiques de l IHÉS · 1,243

Characteristic Classes. (AM-76)

1974 · John Milnor, James D. Stasheff · Princeton University Press eBooks · 1,228

Manifolds, Tensor Analysis, and Applications

1984 · R. Abraham, J. E. Marsden, et al. · Physics Today · 1,209

Differential calculus on compact matrix pseudogroups (quantum groups)

1989 · S. L. Woronowicz · Communications in Mathematical Physics · 1,059

On the Volume Elements on a Manifold

1965 · J{ürgen Moser · Transactions of the American Mathematical Society · 1,019

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Characteristic Forms and Geometric Invariants

1974 · Shiing-Shen Chern, James Simons · Annals of Mathematics · 968

Electromagnetic Fields

2015 · Ismo V. Lindell · 884

Fundamentals of Differential Geometry

1999 · Serge Lang · Graduate texts in mathematics · 867

Elementary Differential Geometry

2018 · John Harlim · 865

Calculus On Manifolds

2018 · Michael Spivak · CRC Press eBooks · 799

Geometry of Manifolds

2001 · Richard Bishop, Richard Crittenden · American Mathematical Society eBooks · 780

Differential Forms with Applications to the Physical Sciences

1963 · Flanders, Harley 1925-2013 · Mathematics in Science and Engineering/Mathematics in science and engineering · 779

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Real homotopy theory of K�hler manifolds

1975 · Pierre Deligne, Phillip Griffiths, et al. · Inventiones mathematicae · 758

Works count: 8,116

Citation count: 121,800