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  2. List of differential geometry topics - Wikipedia

    en.wikipedia.org/wiki/List_of_differential...

    See also multivariable calculus, list of multivariable calculus topics. Manifold. Differentiable manifold; Smooth manifold; Banach manifold; Fréchet manifold; Tensor analysis. Tangent vector

  3. Differential geometry - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry

    Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds.It uses the techniques of single variable calculus, vector calculus, linear algebra and multilinear algebra.

  4. Graduate Studies in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Studies_in...

    217 Lectures on Poisson Geometry, Marius Crainic, Rui Loja Fernandes, Ioan Mărcuț (2021, ISBN 978-1-4704-6430-1) 218 Lectures on Differential Topology, Riccardo Benedetti (2021, ISBN 978-1-4704-6674-9) 219 Essentials of Tropical Combinatorics, Michael Joswig (2021, ISBN 978-1-4704-6653-4)

  5. Graded manifold - Wikipedia

    en.wikipedia.org/wiki/Graded_manifold

    A. Almorox, Supergauge theories in graded manifolds, in Differential Geometric Methods in Mathematical Physics, Lecture Notes in Mathematics 1251 (Springer, 1987) p. 114; D. Hernandez Ruiperez, J. Munoz Masque, Global variational calculus on graded manifolds, J. Math. Pures Appl. 63 (1984) 283

  6. Distribution (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/Distribution_(differential...

    In differential geometry, a discipline within mathematics, a distribution on a manifold is an assignment of vector subspaces satisfying certain properties. In the most common situations, a distribution is asked to be a vector subbundle of the tangent bundle T M {\displaystyle TM} .

  7. International Conference on Differential Geometric Methods in ...

    en.wikipedia.org/wiki/International_Conference...

    Notes: "Proceedings of the NATO Advanced Research Workshop and the 18th International Conference on Differential Geometric Methods in Theoretical Physics: Physics and Geometry, held July 2–8, 1988, at the University of California, Davis, Davis, California"--T.p. verso.

  8. Calibrated geometry - Wikipedia

    en.wikipedia.org/wiki/Calibrated_geometry

    In the mathematical field of differential geometry, a calibrated manifold is a Riemannian manifold (M,g) of dimension n equipped with a differential p-form φ (for some 0 ≤ p ≤ n) which is a calibration, meaning that: φ is closed: dφ = 0, where d is the exterior derivative

  9. Holonomy - Wikipedia

    en.wikipedia.org/wiki/Holonomy

    In differential geometry, the holonomy of a connection on a smooth manifold is the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported. Holonomy is a general geometrical consequence of the curvature of the connection.

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