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  2. Journal of Differential Geometry - Wikipedia

    en.wikipedia.org/wiki/Journal_of_Differential...

    The Journal of Differential Geometry is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year. The journal publishes an annual supplement in book form called Surveys in Differential Geometry. It covers differential geometry and related subjects ...

  3. Differential geometry - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry

    e. 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 differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity.

  4. Alexandre Mikhailovich Vinogradov - Wikipedia

    en.wikipedia.org/wiki/Alexandre_Mikhailovich...

    Alexandre Mikhailovich Vinogradov ( Russian: Александр Михайлович Виноградов; 18 February 1938 – 20 September 2019) was a Russian and Italian mathematician. He made important contributions to the areas of differential calculus over commutative algebras, the algebraic theory of differential operators, homological ...

  5. Symplectic geometry - Wikipedia

    en.wikipedia.org/wiki/Symplectic_geometry

    Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the Hamiltonian formulation of classical mechanics where the phase space of certain classical systems takes ...

  6. Shing-Tung Yau - Wikipedia

    en.wikipedia.org/wiki/Shing-Tung_Yau

    He co-organizes the annual "Journal of Differential Geometry" and "Current Developments in Mathematics" conferences. Yau is an editor-in-chief of the Journal of Differential Geometry, Asian Journal of Mathematics, and Advances in Theoretical and Mathematical Physics. As of 2021, he has advised over seventy Ph.D. students.

  7. Oswald Veblen Prize in Geometry - Wikipedia

    en.wikipedia.org/.../Oswald_Veblen_Prize_in_Geometry

    Journal of Differential Geometry 17 (1982), no. 3, 357–453. 1991 Andrew Casson for: his work on the topology of low dimensional manifolds and specifically for the discovery of an integer valued invariant of homology three spheres whose reduction mod(2) is the invariant of Rohlin. 1991 Clifford Taubes for:

  8. Geometric analysis - Wikipedia

    en.wikipedia.org/wiki/Geometric_analysis

    Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of linear elliptic PDEs dates at least as far back as Hodge theory. More recently, it refers largely to ...

  9. Information geometry - Wikipedia

    en.wikipedia.org/wiki/Information_geometry

    Information geometry. Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. [1] It studies statistical manifolds, which are Riemannian manifolds whose points correspond to probability distributions .

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